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Volumn , Issue , 2008, Pages 1-432

Directional Statistics

Author keywords

[No Author keywords available]

Indexed keywords

CURVE FITTING; EARTH (PLANET);

EID: 84981731401     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470316979     Document Type: Book
Times cited : (3598)

References (451)
  • 1
    • 0011576464 scopus 로고
    • Exact Bahadur efficiencies for the Kolmogorov-Suiimov and Kuiper one- and two-sample statistics
    • 150.
    • Abrahamson, I. G. (1967). Exact Bahadur efficiencies for the Kolmogorov-Suiimov and Kuiper one- and two-sample statistics. Ann. Math. Statist. 38. 1475-1490. (150).
    • (1967) Ann. Math. Statist. , vol.38 , pp. 1475-1490
    • Abrahamson, I.G.1
  • 2
    • 0003851731 scopus 로고
    • Handbook of Mathematical Functions
    • Dover, New York. (50, 349, 350, 351).
    • Abramowitz, M. & Stegun, I. A. (1965). Handbook of Mathematical Functions. Dover, New York. (50, 349, 350, 351).
    • (1965)
    • Abramowitz, M.1    Stegun, I.A.2
  • 3
    • 18044386474 scopus 로고
    • Some stationary Markov processes in discrete time for unit vectors
    • 265.
    • Accardi, L., Cabrera, J. & Watson, G. S. (1987). Some stationary Markov processes in discrete time for unit vectors. Metron, 45, 115 133. (265).
    • (1987) Metron , vol.45 , pp. 115 133
    • Accardi, L.1    Cabrera, J.2    Watson, G.S.3
  • 5
    • 0000914572 scopus 로고
    • A simple test for uniformity of a circular distribution
    • 106, 107, 109.
    • Ajne, B. (1968). A simple test for uniformity of a circular distribution. Biometrika, 55, 343 354. (106, 107, 109).
    • (1968) Biometrika , vol.55 , pp. 343 354
    • Ajne, B.1
  • 6
    • 21844503373 scopus 로고
    • Measuring location effects from factorial experiments with a directional response
    • 136, 141, 227.
    • Anderson, C. M. & Wu, C.F. J. (1995). Measuring location effects from factorial experiments with a directional response. Internal. Statist. Rev., 63, 345-363. (136, 141, 227).
    • (1995) Internal. Statist. Rev. , vol.63 , pp. 345-363
    • Anderson, C.M.1    Wu, C.F.J.2
  • 7
    • 84981734596 scopus 로고
    • Tests for randomness of directions against equatorial and bimodal alternatives
    • 233.
    • Anderson, T. W. & Stephens, M. A. (1972). Tests for randomness of directions against equatorial and bimodal alternatives. Biometrika, 43, 613 621. (233).
    • (1972) Biometrika , vol.43 , pp. 613 621
    • Anderson, T.W.1    Stephens, M.A.2
  • 8
    • 0016128052 scopus 로고
    • A robust method for multiple linear regression
    • 276.
    • Andrews, D. F. (1974). A robust method for multiple linear regression. Technometrics, 16, 523 531. (276).
    • (1974) Technometrics , vol.16 , pp. 523 531
    • Andrews, D.F.1
  • 9
    • 0010050273 scopus 로고
    • On Spherical Probability Distributions
    • Ph.D. thesis, Massachusetts Institute of Technology. (170, 171, 183).
    • Arnold, K. J. (1941). On Spherical Probability Distributions. Ph.D. thesis, Massachusetts Institute of Technology. (170, 171, 183).
    • (1941)
    • Arnold, K.J.1
  • 10
    • 3342932708 scopus 로고
    • Kuiper's P-value as a measuring tool and decision procedure for the goodness-of-fit test
    • 102.
    • Arsham, H. (1988). Kuiper's P-value as a measuring tool and decision procedure for the goodness-of-fit test. J. Appl. Statist, 15, 131-135. (102).
    • (1988) J. Appl. Statist , vol.15 , pp. 131-135
    • Arsham, H.1
  • 11
    • 26244466012 scopus 로고
    • Runs test for a circular distribution and a table of probabilities
    • 153, 378.
    • Asano, C. (1965). Runs test for a circular distribution and a table of probabilities. Ann. Inst. Statist. Math. 17, 331 346. (153, 378).
    • (1965) Ann. Inst. Statist. Math. , vol.17 , pp. 331 346
    • Asano, C.1
  • 12
    • 60649115462 scopus 로고
    • Empirical Bayes estimation in directional data
    • 279.
    • Bagchi, P. (1994). Empirical Bayes estimation in directional data. J. Appl. Statist., 21, 317-326. (279).
    • (1994) J. Appl. Statist. , vol.21 , pp. 317-326
    • Bagchi, P.1
  • 13
    • 0040707654 scopus 로고
    • Theoretical considerations of the multivariate von Mises-Fisher distribution
    • 279.
    • Bagchi, P. & Guttman, I. (1988). Theoretical considerations of the multivariate von Mises-Fisher distribution. J. Appl. Statist, 15, 149-169. (279).
    • (1988) J. Appl. Statist , vol.15 , pp. 149-169
    • Bagchi, P.1    Guttman, I.2
  • 14
    • 0039013284 scopus 로고
    • Spuriosity and outliers in directional data
    • 269, 279.
    • Bagchi P. & Guttman, I. (1990). Spuriosity and outliers in directional data. J. Appl. Statist, 17, 341-350. (269, 279).
    • (1990) J. Appl. Statist , vol.17 , pp. 341-350
    • Bagchi, P.1    Guttman, I.2
  • 15
    • 0040314224 scopus 로고
    • Laplace approximations to posterior moments and marginal distributions on circles, spheres, and cylinders
    • 279.
    • Bagchi, P. & Kadane, J. B. (1991). Laplace approximations to posterior moments and marginal distributions on circles, spheres, and cylinders. Canad. J. Statist, 19, 67-77. (279).
    • (1991) Canad. J. Statist , vol.19 , pp. 67-77
    • Bagchi, P.1    Kadane, J.B.2
  • 16
    • 38249026793 scopus 로고
    • Keruel estimators of density functions of directional data
    • 278.
    • Bai, Z., Rao, C. & Zhao, L. (1988). Keruel estimators of density functions of directional data. J. Multivariate Anal., 27, 24-39. (278).
    • (1988) J. Multivariate Anal. , vol.27 , pp. 24-39
    • Bai, Z.1    Rao, C.2    Zhao, L.3
  • 17
    • 84948768403 scopus 로고
    • A finite form for the wrapped Poisson distribution
    • 49.
    • Ball, F. & Blackwell, P. (1992). A finite form for the wrapped Poisson distribution. Adv. Appl. Probab., 24, 221-222. (49).
    • (1992) Adv. Appl. Probab. , vol.24 , pp. 221-222
    • Ball, F.1    Blackwell, P.2
  • 18
    • 0003746450 scopus 로고
    • Information and Exponential Families
    • WUey, Chichester. (33, 88, 120, 211).
    • Barudorff-Nielsen, O. E. (1978). Information and Exponential Families. WUey, Chichester. (33, 88, 120, 211).
    • (1978)
    • Barudorff-Nielsen, O.E.1
  • 19
    • 0000739010 scopus 로고
    • Hyperbolic distributions and distributions on hyperbolae
    • 298.
    • Barudorff-Nielsen, O. E. (1978). Hyperbolic distributions and distributions on hyperbolae. Scand. J. Statist., 5, 151-157. (298).
    • (1978) Scand. J. Statist. , vol.5 , pp. 151-157
    • Barudorff-Nielsen, O.E.1
  • 20
    • 0038255697 scopus 로고
    • Parametric Statistical Models and Likelihood
    • Springer-Verlag, Heidelberg. (33).
    • Barndorff-Nielsen, O. E. (1988). Parametric Statistical Models and Likelihood, Lecture Notes in Statistics 50. Springer-Verlag, Heidelberg. (33).
    • (1988) Lecture Notes in Statistics , vol.50
    • Barndorff-Nielsen, O.E.1
  • 21
    • 0002589215 scopus 로고
    • Decomposition and Invariants of Measures, and Statistical Transformation Models
    • Springer-Verlag, New York. (33, 300).
    • Barndorff-Nielsen, O. E., Blaesild, P. & Eriksen, P. S. (1989). Decomposition and Invariants of Measures, and Statistical Transformation Models, Lecture Notes in Statistics 58. Springer-Verlag, New York. (33, 300).
    • (1989) Lecture Notes in Statistics , vol.58
    • Barndorff-Nielsen, O.E.1    Blaesild, P.2    Eriksen, P.S.3
  • 22
    • 0003465364 scopus 로고
    • Asymptotic Techniques for Use in Statistics
    • Chapman and Hall, London. (143).
    • Barndorff-Nielsen, O. E. & Cox, D. R. (1989). Asymptotic Techniques for Use in Statistics. Chapman and Hall, London. (143).
    • (1989)
    • Barndorff-Nielsen, O.E.1    Cox, D.R.2
  • 24
    • 0004169830 scopus 로고
    • Outliers in Statistical Data
    • 3rd ed. Wiley, Chichester. (269, 274).
    • Barnett, V. & Lewis, T. (1994). Outliers in Statistical Data, 3rd ed. Wiley, Chichester. (269, 274).
    • (1994)
    • Barnett, V.1    Lewis, T.2
  • 25
    • 0021554445 scopus 로고
    • Estimation in a bidirectional mixture of von Mises distributions
    • 91.
    • Barrels, R. (1984). Estimation in a bidirectional mixture of von Mises distributions. Biometrics, 40, 777-784. (91).
    • (1984) Biometrics , vol.40 , pp. 777-784
    • Barrels, R.1
  • 26
    • 0039854197 scopus 로고
    • Runs in a ring
    • 153, 158).
    • Barton, D. E. & David, F. N. (1958). Runs in a ring. Biometrika, 45, 572-578. (153, 158).
    • (1958) Biometrika , vol.45 , pp. 572-578
    • Barton, D.E.1    David, F.N.2
  • 27
    • 0002210180 scopus 로고
    • Statistical Methods for the Analysis of Problems in Animal Orientation and Certain Biological Rhythms
    • Washington. (38, 156. 355, 360, 362, 363).
    • Batschelet, E. (1965). Statistical Methods for the Analysis of Problems in Animal Orientation and Certain Biological Rhythms. Amer. Inst. Biol. Sci., Washington. (38, 156. 355, 360, 362, 363).
    • (1965) Amer. Inst. Biol. Sci.
    • Batschelet, E.1
  • 29
    • 84981749051 scopus 로고
    • Citr.ular Statistics in Biology
    • Academic Press, London, (xx, 18, 55, 150, 364, 370, 371, 372).
    • Batschelet, E. (1981). Citr.ular Statistics in Biology. Academic Press, London, (xx, 18, 55, 150, 364, 370, 371, 372).
    • (1981)
    • Batschelet, E.1
  • 30
    • 0015902162 scopus 로고
    • Angular-linear correlation coefficient for rhythniometry and circannually changing human birth rates at different geographic latitudes
    • 55.
    • Batschelet, E., Hilliuan, D., Smolensky, M. & Halberg, F. (1973). Angular-linear correlation coefficient for rhythniometry and circannually changing human birth rates at different geographic latitudes. Int. J. Chronobiol., 1, 183- 202. (55).
    • (1973) Int. J. Chronobiol. , vol.1 , pp. 183-202
    • Batschelet, E.1    Hilliuan, D.2    Smolensky, M.3    Halberg, F.4
  • 31
    • 0346749787 scopus 로고
    • The probability distribution of the vector sum of n unit vectors with arbitrary phase distributions
    • 9.
    • Beckmann, P. (1959). The probability distribution of the vector sum of n unit vectors with arbitrary phase distributions. Acta Technica, 4, 323-335. (9).
    • (1959) Acta Technica , vol.4 , pp. 323-335
    • Beckmann, P.1
  • 32
    • 0000956831 scopus 로고
    • The law of anomalous numbers
    • 64.
    • Benford, F. (1938). The law of anomalous numbers. Proc. Amer. Phil. Soc, 78, 551-572. (64).
    • (1938) Proc. Amer. Phil. Soc , vol.78 , pp. 551-572
    • Benford, F.1
  • 33
    • 0000072615 scopus 로고
    • Testing for uniformity on a compact homogeneous space
    • 110, 112, 209", 243).
    • Beran, R. J. (1968). Testing for uniformity on a compact homogeneous space. J. Appl. Probab., 5, 177-195. (110, 112, 209", 243).
    • (1968) J. Appl. Probab. , vol.5 , pp. 177-195
    • Beran, R.J.1
  • 34
    • 0009567772 scopus 로고
    • Asymptotic theory of a class of tests for uniformity of a circular distribution
    • 110, 114, 115.
    • Beran, R. J. (1969). Asymptotic theory of a class of tests for uniformity of a circular distribution. Ann. Math. Statist, 40, 1196-1206. (110, 114, 115).
    • (1969) Ann. Math. Statist , vol.40 , pp. 1196-1206
    • Beran, R.J.1
  • 35
    • 70350335137 scopus 로고
    • The derivation of nonparametric two-sample tests for uniformity of a circular distribution
    • 152, 154, 155.
    • Beran, R. J. (1969). The derivation of nonparametric two-sample tests for uniformity of a circular distribution. Biometrika, 56, 561-570. (152, 154, 155).
    • (1969) Biometrika , vol.56 , pp. 561-570
    • Beran, R.J.1
  • 36
    • 0000121741 scopus 로고
    • Exponential models for directional data
    • 174, 175.
    • Beran, R. J. (1979). Exponential models for directional data. Ann. Statist., 7, 1162-1178. (174, 175).
    • (1979) Ann. Statist. , vol.7 , pp. 1162-1178
    • Beran, R.J.1
  • 37
    • 0032330296 scopus 로고    scopus 로고
    • Nonparametric comparison of mean directions or mean axes
    • 220, 228, 240.
    • Beran, R. J. & Fisher, N. I. (1998). Nonparametric comparison of mean directions or mean axes. Ann. Statist, 26, 472-493. (220, 228, 240).
    • (1998) Ann. Statist , vol.26 , pp. 472-493
    • Beran, R.J.1    Fisher, N.I.2
  • 38
  • 39
    • 85052254064 scopus 로고
    • Birkhäuser, Basel. (11, 208).
    • Daniel Bernoulli, Werke, Vol. 3, 226- 303. Birkhäuser, Basel (1982). (11, 208).
    • (1982) Werke , vol.3 , pp. 226-303
    • Bernoulli, D.1
  • 40
    • 0000532798 scopus 로고
    • Efficient simulation of the von Mises distribution
    • 43.
    • Best, D. J. & Fisher, N. I. (1979). Efficient simulation of the von Mises distribution. Appl. Statist, 24, 152-157. (43).
    • (1979) Appl. Statist , vol.24 , pp. 152-157
    • Best, D.J.1    Fisher, N.I.2
  • 41
    • 0002598793 scopus 로고
    • The bias of the maximum likelihood estimators of the von Mises-Fisher concentration parameters
    • 87, 200.
    • Best, D. J. & Fisher, N. I. (1981). The bias of the maximum likelihood estimators of the von Mises-Fisher concentration parameters. Comm. Statist. Simulation Comput, 10, 493-502. (87, 200).
    • (1981) Comm. Statist. Simulation Comput , vol.10 , pp. 493-502
    • Best, D.J.1    Fisher, N.I.2
  • 42
    • 84985619023 scopus 로고
    • Goodness of fit and discordancy tests for samples from the Watson distribution on the sphere
    • 197, 268, 272.
    • Best, D. J. & Fisher, N. I. (1986). Goodness of fit and discordancy tests for samples from the Watson distribution on the sphere. Austral. J. Statist, 28, 13 31. (197, 268, 272).
    • (1986) Austral. J. Statist , vol.28 , pp. 13-31
    • Best, D.J.1    Fisher, N.I.2
  • 43
    • 33645086446 scopus 로고
    • On Hodges's bivariate sign test and a test for uniformity of a circular distribution
    • 98, 106.
    • Bhattacharyya, G. K. & Johnson, R. A. (1969). On Hodges's bivariate sign test and a test for uniformity of a circular distribution. Biometrika, 56. 446-449. (98, 106).
    • (1969) Biometrika , vol.56 , pp. 446-449
    • Bhattacharyya, G.K.1    Johnson, R.A.2
  • 44
    • 0004102012 scopus 로고
    • Distributiorts on the Sphere and on the Projective Plane
    • Ph.D. thesis, Yale University. (182, 203).
    • Bingham, C. (1964). Distributiorts on the Sphere and on the Projective Plane. Ph.D. thesis, Yale University. (182, 203).
    • (1964)
    • Bingham, C.1
  • 45
    • 0001199893 scopus 로고
    • An antipodally symmetric distribution on the sphere
    • 182, 232, 234.
    • Bingham, C. (1974). An antipodally symmetric distribution on the sphere. Ann. Statist, 2, 1201-1225. (182, 232, 234).
    • (1974) Ann. Statist , vol.2 , pp. 1201-1225
    • Bingham, C.1
  • 46
    • 38249012897 scopus 로고
    • Approximating the matrix Fisher and Bingham distributions: applications to spherical regression and Procrustes analysis
    • 192, 260, 284, 292, 293, 330.
    • Bingham, C, Chang, T. & Richards, D. (1992). Approximating the matrix Fisher and Bingham distributions: applications to spherical regression and Procrustes analysis. J. Multivariate Anal., 41, 314-337. (192, 260, 284, 292, 293, 330).
    • (1992) J. Multivariate Anal. , vol.41 , pp. 314-337
    • Bingham, C.1    Chang, T.2    Richards, D.3
  • 47
    • 0017886917 scopus 로고
    • A small circle distribution on the sphere
    • 177.
    • Bingham. C. & Mardia, K. V. (1978). A small circle distribution on the sphere. Biometrika, 65, 379-389. (177).
    • (1978) Biometrika , vol.65 , pp. 379-389
    • Bingham, C.1    Mardia, K.V.2
  • 48
    • 84963053667 scopus 로고
    • Stochastic processes with independent increments taking values in an Abelian group
    • 51.
    • Bingham. M. S. (1971). Stochastic processes with independent increments taking values in an Abelian group. Proc. London Math. Soc., 22, 507-530. (51).
    • (1971) Proc. London Math. Soc. , vol.22 , pp. 507-530
    • Bingham, M.S.1
  • 49
    • 0009102822 scopus 로고
    • Maximum likelihood characterisation of the von Mises distribution
    • G. P. Patil, S. Kotz & J. K. Ord (eds), Reidel, Dordrecht. (171, 179).
    • Bingham, M. S. & Mardia, K. V. (1975). Maximum likelihood characterisation of the von Mises distribution. In G. P. Patil, S. Kotz & J. K. Ord (eds), Statistical Distributions in Scientific Work, 3, pp. 387-398, Reidel, Dordrecht. (171, 179).
    • (1975) Statistical Distributions in Scientific Work , vol.3 , pp. 387-398
    • Bingham, M.S.1    Mardia, K.V.2
  • 50
    • 0025503476 scopus 로고
    • Shape from texture estimation, isotropy and moments
    • 10, 47, 90.
    • Blake, A. & Marinos, C. (1990). Shape from texture estimation, isotropy and moments. Artificial Intelligence, 45, 323-380. (10, 47, 90).
    • (1990) Artificial Intelligence , vol.45 , pp. 323-380
    • Blake, A.1    Marinos, C.2
  • 51
    • 84972512610 scopus 로고
    • Size and shape spaces for landmark data in two dimensions (with discussion)
    • 306, 307.
    • Bookstein, F. L. (1986). Size and shape spaces for landmark data in two dimensions (with discussion). Statist. Set., 1, 181-242. (306, 307).
    • (1986) Statist. Set. , vol.1 , pp. 181-242
    • Bookstein, F.L.1
  • 52
    • 0003597817 scopus 로고
    • Morphometric Tools for Landmark Data: Geometry and Biology
    • Cambridge Univ. Press, Cambridge. (306, 313, 32G).
    • Bookstein, F. L. (1991). Morphometric Tools for Landmark Data: Geometry and Biology. Cambridge Univ. Press, Cambridge. (306, 313, 32G).
    • (1991)
    • Bookstein, F.L.1
  • 53
    • 0030095282 scopus 로고    scopus 로고
    • Biometrics, biomathematics and the morphometric synthesis
    • 340, 341.
    • Bookstein, F. L. (1996). Biometrics, biomathematics and the morphometric synthesis. Bull. Math. Biol., 58, 313-365. (340, 341).
    • (1996) Bull. Math. Biol. , vol.58 , pp. 313-365
    • Bookstein, F.L.1
  • 55
    • 0030694434 scopus 로고    scopus 로고
    • Smooth tests of goodness-of-fit for directional and axial data
    • 274.
    • Boulerice, B. & Ducharme, G. R. (1997). Smooth tests of goodness-of-fit for directional and axial data. J. Multivariate Anal., 60, 154-175. (274).
    • (1997) J. Multivariate Anal. , vol.60 , pp. 154-175
    • Boulerice, B.1    Ducharme, G.R.2
  • 56
    • 0001233631 scopus 로고
    • Density based tests for goodness of fit
    • 274.
    • Bowman, A. W. (1992). Density based tests for goodness of fit. 7. Statist. Comput. Simulation, 40, 1-13. (274).
    • (1992) .7. Statist. Comput. Simulation , vol.40 , pp. 1-13
    • Bowman, A.W.1
  • 57
    • 0040388853 scopus 로고
    • The Analysis of Directional Time Series: Applications to Wind Speed and Direction
    • Springer-Verlag, Berlin. (263. 264, 265).
    • Breckling, J. (1989). The Analysis of Directional Time Series: Applications to Wind Speed and Direction, Lecture Notes in Statistics 61. Springer-Verlag, Berlin. (263. 264, 265).
    • (1989) Lecture Notes in Statistics , vol.61
    • Breckling, J.1
  • 58
    • 11744349798 scopus 로고
    • Analogues of the normal distribution on the circle and the sphere
    • 171.
    • Breitenberger, E. (1963). Analogues of the normal distribution on the circle and the sphere. Biometrika, 50, 81-88. (171).
    • (1963) Biometrika , vol.50 , pp. 81-88
    • Breitenberger, E.1
  • 59
    • 0004947512 scopus 로고
    • Grouping corrections for circular goodness-of-fit tests
    • 117, 158.
    • Brown, B. M. (1994). Grouping corrections for circular goodness-of-fit tests. J. Roy. Statist. Soc. Ser. B, 56, 275-283. (117, 158).
    • (1994) J. Roy. Statist. Soc. Ser. B , vol.56 , pp. 275-283
    • Brown, B.M.1
  • 60
    • 84989486022 scopus 로고
    • Xonparametric Bayes methods for directional data
    • 279.
    • Brtmner, L. & Lo, A. Y. (1994). Xonparametric Bayes methods for directional data. Canad. J. Statist, 22, 401-412. (279).
    • (1994) Canad. J. Statist , vol.22 , pp. 401-412
    • Brtmner, L.1    Lo, A.Y.2
  • 62
    • 84910892616 scopus 로고
    • On a spherical median related distribution
    • 180.
    • Cabrera, J. & Watson. G. S. (1990). On a spherical median related distribution. Comm. Statist. Theory Methods, 19, 1973-1986. (180).
    • (1990) Comm. Statist. Theory Methods , vol.19 , pp. 1973-1986
    • Cabrera, J.1    Watson, G.S.2
  • 63
    • 84981728192 scopus 로고
    • A Structural Model for the Analysis of Directional Data
    • Ph.D. thesis, University of Toronto. (47, 92).
    • Cairns, M. B. (1975). A Structural Model for the Analysis of Directional Data. Ph.D. thesis, University of Toronto. (47, 92).
    • (1975)
    • Cairns, M.B.1
  • 64
    • 57449091410 scopus 로고
    • On median-type estimators of direction for the von Mises-Fisher distribution
    • 275.
    • Chan, Y. M. & He, X. (1993). On median-type estimators of direction for the von Mises-Fisher distribution. Biometrika, 80, 869-875. (275).
    • (1993) Biometrika , vol.80 , pp. 869-875
    • Chan, Y.M.1    He, X.2
  • 65
    • 0001583228 scopus 로고
    • Spherical regression
    • 259, 260, 284.
    • Chang, T. (1986). Spherical regression. Ann. Statist, 14, 907- 924. (259, 260, 284).
    • (1986) Ann. Statist , vol.14 , pp. 907-924
    • Chang, T.1
  • 66
    • 0023481149 scopus 로고
    • On the statistical properties of estimated rotations
    • 261.
    • Chang, T. (1987). On the statistical properties of estimated rotations. J. Geophys. Res., 92 (B7), 6319-6329. (261).
    • (1987) J. Geophys. Res. , vol.92 , Issue.B7 , pp. 6319-6329
    • Chang, T.1
  • 67
    • 84950449502 scopus 로고
    • Estimating the relative rotation of two tectonic plates from boundary crossings
    • 261.
    • Chang, T. (1988). Estimating the relative rotation of two tectonic plates from boundary crossings. J. Amer. Statist. Assoc., 83, 1178-1183. (261).
    • (1988) J. Amer. Statist. Assoc. , vol.83 , pp. 1178-1183
    • Chang, T.1
  • 68
    • 0011152889 scopus 로고
    • Spherical regression with errors in variables
    • 260.
    • Chang, T. (1989). Spherical regression with errors in variables. Ann. Statist., 17, 293-306. (260).
    • (1989) Ann. Statist. , vol.17 , pp. 293-306
    • Chang, T.1
  • 69
    • 21344496237 scopus 로고
    • Spherical regression and the statistics of tectonic plate reconstructions
    • 6, 259.
    • Chang, T. (1993). Spherical regression and the statistics of tectonic plate reconstructions. Internal. Statist. Rev., 61, 299-316. (6, 259).
    • (1993) Internal. Statist. Rev. , vol.61 , pp. 299-316
    • Chang, T.1
  • 70
    • 0041293909 scopus 로고
    • A/-estimates of rigid body motion on the sphere and in Euclidean space
    • 276.
    • Chang, T. & Ko, D. (1995). A/-estimates of rigid body motion on the sphere and in Euclidean space. Ann. Statist., 23, 1823-1847. (276).
    • (1995) Ann. Statist. , vol.23 , pp. 1823-1847
    • Chang, T.1    Ko, D.2
  • 71
    • 0040212369 scopus 로고
    • Assessing geometric integrity through spherical regression techniques
    • 259.
    • Chapman, G. R., Chen, G. & Kim, P. T. (1995). Assessing geometric integrity through spherical regression techniques. Statist. Sinica, 5, 173-220. (259).
    • (1995) Statist. Sinica , vol.5 , pp. 173-220
    • Chapman, G.R.1    Chen, G.2    Kim, P.T.3
  • 72
    • 38249018866 scopus 로고
    • Distributions of orientations on Stiefel manifolds
    • 286.
    • Chikuse, Y. (1990). Distributions of orientations on Stiefel manifolds. J. Multivariate Anal., 33, 247-264. (286).
    • (1990) J. Multivariate Anal. , vol.33 , pp. 247-264
    • Chikuse, Y.1
  • 73
    • 38249018722 scopus 로고
    • The matrix angular central Gaussian distribution
    • 296.
    • Chikuse, Y. (1990). The matrix angular central Gaussian distribution. J. Multivariate Anal., 33, 265-274. (296).
    • (1990) J. Multivariate Anal. , vol.33 , pp. 265-274
    • Chikuse, Y.1
  • 74
    • 0012795493 scopus 로고
    • High dimensional limit theorems and matrix decompositions on the Stiefel manifold
    • 292.
    • Chikuse, Y. (1991). High dimensional limit theorems and matrix decompositions on the Stiefel manifold. J. Multivariate Anal., 36, 145-162. (292).
    • (1991) J. Multivariate Anal. , vol.36 , pp. 145-162
    • Chikuse, Y.1
  • 75
    • 0038153669 scopus 로고
    • Asymptotic expansions for distributions of the large-sample matrix resultant and related statistics on the Stiefel manifold
    • 292.
    • Chikuse, Y. (1991). Asymptotic expansions for distributions of the large-sample matrix resultant and related statistics on the Stiefel manifold. J. Multivariate Anal, 39, 270-283. (292).
    • (1991) J. Multivariate Anal , vol.39 , pp. 270-283
    • Chikuse, Y.1
  • 76
    • 0007324219 scopus 로고
    • High dimensional asymptotic expansions for the matrix Langevin distributions on the Stiefel manifold
    • 286, 292.
    • Chikuse, Y. (1993). High dimensional asymptotic expansions for the matrix Langevin distributions on the Stiefel manifold. J. Multivariate Anal., 44, 82- 101. (286, 292).
    • (1993) J. Multivariate Anal. , vol.44 , pp. 82-101
    • Chikuse, Y.1
  • 77
    • 0038492191 scopus 로고
    • Asymptotic theory for the concentrated matrix Langevin distributions on the Grassmann manifold
    • K. Matsusita et al. (eds), VSP, Utrecht. (295).
    • Chikuse, Y. (1993). Asymptotic theory for the concentrated matrix Langevin distributions on the Grassmann manifold. In K. Matsusita et al. (eds), Statistical Science and Data Analysis: Proceedings of the 3rd Pacific Area Statistical Conference, pp. 237 245, VSP, Utrecht. (295).
    • (1993) Statistical Science and Data Analysis: Proceedings of the 3rd Pacific Area Statistical Conference , pp. 237-245
    • Chikuse, Y.1
  • 78
    • 0040753933 scopus 로고
    • Invariant measures on Stiefel manifolds with applications to multivariate analysis
    • T. W. Anderson, K. T. Fang & I. W. Olkin (eds), IMS Lecture Notes Monograph Series 24, Inst. Math. Statist., Hayward, CA. (292).
    • Chikuse, Y. (1993). Invariant measures on Stiefel manifolds with applications to multivariate analysis. In T. W. Anderson, K. T. Fang & I. W. Olkin (eds), Multivariate Analysis and its Applications: Proceedings of the International Symposium of Multivariate Analysis and its Applications, pp. 177-193. IMS Lecture Notes Monograph Series 24, Inst. Math. Statist., Hayward, CA. (292).
    • (1993) Multivariate Analysis and its Applications: Proceedings of the International Symposium of Multivariate Analysis and its Applications , pp. 177-193
    • Chikuse, Y.1
  • 79
    • 0038492193 scopus 로고    scopus 로고
    • Density estimation on the Stiefel manifold
    • 278.
    • Chikuse, Y. (1998). Density estimation on the Stiefel manifold. J. Multivariate Anal., 66, 188-206. (278).
    • (1998) J. Multivariate Anal. , vol.66 , pp. 188-206
    • Chikuse, Y.1
  • 80
    • 0011143020 scopus 로고
    • Large sample asymptotic theory of tests for uniformity on the Grassmann manifold
    • 296, 297.
    • Chikuse, Y. & Watson, G. S. (1995). Large sample asymptotic theory of tests for uniformity on the Grassmann manifold. J. Multivariate Anal. 54. 18-31. (296, 297).
    • (1995) J. Multivariate Anal. , vol.54 , pp. 18-31
    • Chikuse, Y.1    Watson, G.S.2
  • 81
    • 84985553284 scopus 로고
    • Small sample theory of the Langeviu distribution
    • 212.
    • Chou, R. J. (1986). Small sample theory of the Langeviu distribution. Austral. J. Statist, 28, 335-344. (212).
    • (1986) Austral. J. Statist , vol.28 , pp. 335-344
    • Chou, R.J.1
  • 82
    • 84988075025 scopus 로고
    • Cramer von Mises statistics for discrete distributions
    • 117.
    • Choulakiait, V., Lockhart, R. A. & Stephens, M. A. (1994). Cramer von Mises statistics for discrete distributions. Canad. J. Statist., 22, 125-137. (117).
    • (1994) Canad. J. Statist. , vol.22 , pp. 125-137
    • Choulakiait, V.1    Lockhart, R.A.2    Stephens, M.A.3
  • 83
    • 84985521800 scopus 로고
    • Estimation of parameters in the marginal Fisher distribution
    • 180.
    • Clark, R. M. (1983). Estimation of parameters in the marginal Fisher distribution. Austral. J. Statist., 25, 227-237. (180).
    • (1983) Austral. J. Statist. , vol.25 , pp. 227-237
    • Clark, R.M.1
  • 84
    • 0041724149 scopus 로고    scopus 로고
    • Inference for circular distributions and processes
    • 264.
    • Coles, S. G. (1998). Inference for circular distributions and processes. Statist. Comput., 8, 105-113. (264).
    • (1998) Statist. Comput. , vol.8 , pp. 105-113
    • Coles, S.G.1
  • 85
    • 0040791745 scopus 로고
    • Outliers in circular data
    • 268.
    • Collett, D. (1980). Outliers in circular data. Appl. Statist, 29, 50-57. (268).
    • (1980) Appl. Statist , vol.29 , pp. 50-57
    • Collett, D.1
  • 87
    • 21344476596 scopus 로고
    • Improved likelihood ratio tests for dispersion models
    • 136.
    • Cordeiro, G. M., Paula, G. A. & Botter, D. A. (1994). Improved likelihood ratio tests for dispersion models. Intemat Statist. Rev., 62, 257-274. (136).
    • (1994) Intemat Statist. Rev. , vol.62 , pp. 257-274
    • Cordeiro, G.M.1    Paula, G.A.2    Botter, D.A.3
  • 88
    • 58549096098 scopus 로고
    • Contribution to discussion of Mardia (1975)
    • 45, 143, 273.
    • Cox, D. R. (1975). Contribution to discussion of Mardia (1975). J. Roy. Statist. Soc. Ser. B, 37, 380-381. (45, 143, 273).
    • (1975) J. Roy. Statist. Soc. Ser. B , vol.37 , pp. 380-381
    • Cox, D.R.1
  • 89
    • 0004184934 scopus 로고
    • Theoretical Statistics
    • Chapman & Hall, London. (34, 86, 95.
    • Cox, D. R. & Hinkley, D. V. (1974). Theoretical Statistics. Chapman & Hall, London. (34, 86, 95).
    • (1974)
    • Cox, D.R.1    Hinkley, D.V.2
  • 91
    • 0001643168 scopus 로고
    • The analysis of two-dimensional orientation data
    • 7.
    • Curray, J. R. (1956). The analysis of two-dimensional orientation data. J. Geol., 64, 117-131. (7).
    • (1956) J. Geol. , vol.64 , pp. 117-131
    • Curray, J.R.1
  • 92
    • 84947681441 scopus 로고
    • Sampling from the von Mises distribution via a comparison of random numbers
    • 44.
    • Dagpunar, J. (1990). Sampling from the von Mises distribution via a comparison of random numbers. J. Appl. Statist, 17, 165-168. (44).
    • (1990) J. Appl. Statist , vol.17 , pp. 165-168
    • Dagpunar, J.1
  • 93
    • 0008981348 scopus 로고
    • A distribution-free test for regression parameters
    • 106.
    • Daniels, H. E. (1954). A distribution-free test for regression parameters. Ann. Math. Statist, 25, 499-513. (106).
    • (1954) Ann. Math. Statist , vol.25 , pp. 499-513
    • Daniels, H.E.1
  • 94
    • 0001155761 scopus 로고
    • On a class of problems related to the random division of an interval
    • 108.
    • Darling, D. A. (1953). On a class of problems related to the random division of an interval. Ann. Math. Statist, 24, 239-253. (108).
    • (1953) Ann. Math. Statist , vol.24 , pp. 239-253
    • Darling, D.A.1
  • 95
    • 52849096716 scopus 로고
    • On the asymptotic distribution of Watson's statistic
    • 105.
    • Darling, D. A. (1983). On the asymptotic distribution of Watson's statistic. Ann. Statist, 11, 1263-1266. (105).
    • (1983) Ann. Statist , vol.11 , pp. 1263-1266
    • Darling, D.A.1
  • 96
    • 0004291848 scopus 로고
    • Combinatorial Chance
    • Griffin, London. (153).
    • David, F. N. & Barton, D. E. (1962). Combinatorial Chance. Griffin, London. (153).
    • (1962)
    • David, F.N.1    Barton, D.E.2
  • 97
    • 0003707560 scopus 로고
    • Order Statistics
    • Wiley, New York. (107).
    • David, H. A. (1970). Order Statistics. Wiley, New York. (107).
    • (1970)
    • David, H.A.1
  • 98
    • 0013800124 scopus 로고
    • The identification of annual peak periods for a disease
    • 96.
    • David, H. A. & Newell, D. J. (1965). The identification of annual peak periods for a disease. Biometrics, 21, 645- 650. (96).
    • (1965) Biometrics , vol.21 , pp. 645-650
    • David, H.A.1    Newell, D.J.2
  • 99
    • 0007189603 scopus 로고
    • Die Brownsche Bewegung und einige verwandte Erscheinungen
    • Frieder, Vieweg und Sohn, Brunswick. (51).
    • de Hass-Lorentz, G. L. (1913). Die Brownsche Bewegung und einige verwandte Erscheinungen. Frieder, Vieweg und Sohn, Brunswick. (51).
    • (1913)
    • de Hass-Lorentz, G.L.1
  • 100
    • 77957264171 scopus 로고
    • On the normalizing constant for the Bingham-von Mises- Fisher matrix distribution
    • 175, 292 293.
    • de Waal, D. J. (1979). On the normalizing constant for the Bingham-von Mises- Fisher matrix distribution. South African Statist. J., 13, 103-112. (175, 292 293).
    • (1979) South African Statist. J. , vol.13 , pp. 103-112
    • de Waal, D.J.1
  • 101
    • 0022267849 scopus 로고
    • SPHERE - a contouring program for spherical data
    • 194, 278.
    • Diggle, P. J. & Fisher, N. I. (1985). SPHERE - a contouring program for spherical data. Comput. Geosci., 11, 725-766. (194, 278).
    • (1985) Comput. Geosci. , vol.11 , pp. 725-766
    • Diggle, P.J.1    Fisher, N.I.2
  • 102
    • 84981739368 scopus 로고
    • A comparison of tests of uniformity for spherical data
    • 210, 234.
    • Diggle, P. J., Fisher, N. I. & Lee, A. J. (1985). A comparison of tests of uniformity for spherical data. Austral. J. Statist, 27, 53 69. (210, 234).
    • (1985) Austral. J. Statist , vol.27 , pp. 53 69
    • Diggle, P.J.1    Fisher, N.I.2    Lee, A.J.3
  • 103
    • 34250569966 scopus 로고
    • Untersuchungen zum Mechanismus von Blastesis und syntcxis in Phylliten and Hornfelsen des siidwestlichen Fichtelgebirges I. Die statistische Auswertung einfacher Gürteldiagramme
    • 181.
    • Dimroth, E. (1962). Untersuchungen zum Mechanismus von Blastesis und syntcxis in Phylliten and Hornfelsen des siidwestlichen Fichtelgebirges I. Die statistische Auswertung einfacher Gürteldiagramme. Tscherm. Min. Petr. Mitt., 8, 248-274. (181).
    • (1962) Tscherm. Min. Petr. Mitt. , vol.8 , pp. 248-274
    • Dimroth, E.1
  • 104
    • 0009638613 scopus 로고
    • Fortschritte der Gefiigestatistik
    • 181.
    • Dimroth, E. (1963). Fortschritte der Gefiigestatistik. N. Jb. Min. Mh., 13,186-192. (181).
    • (1963) N. Jb. Min. Mh. , vol.13 , pp. 186-192
    • Dimroth, E.1
  • 105
    • 34547700820 scopus 로고
    • Simple approximations to the von Mises concentration statistic
    • 86.
    • Dobson, A. J. (1978). Simple approximations to the von Mises concentration statistic. Appl. Statist, 27, 345-346. (86).
    • (1978) Appl. Statist , vol.27 , pp. 345-346
    • Dobson, A.J.1
  • 106
    • 0013914735 scopus 로고
    • Some relationships among the von Miaes distributions of different dimensions
    • 173.
    • Downs, T. D. (1966). Some relationships among the von Miaes distributions of different dimensions. Biometrika, 53, 269-272. (173).
    • (1966) Biometrika , vol.53 , pp. 269-272
    • Downs, T.D.1
  • 107
    • 0000351907 scopus 로고
    • Orientation statistics
    • 284, 289, 291, 292.
    • Downs, T. D. (1972). Orientation statistics. Biometrika, 59, 665-676. (284, 289, 291, 292).
    • (1972) Biometrika , vol.59 , pp. 665-676
    • Downs, T.D.1
  • 108
    • 8844244941 scopus 로고
    • Rotational angular correlation
    • M. Ferin, F. Halberg & L. van der Wiele (eds), Wiley, New York. (249, 256).
    • Downs, T. D. (1974). Rotational angular correlation. In M. Ferin, F. Halberg & L. van der Wiele (eds), Biorkythms and Human Reproduction, pp. 97-104, Wiley, New York. (249, 256).
    • (1974) Biorkythms and Human Reproduction , pp. 97-104
    • Downs, T.D.1
  • 109
    • 0014169208 scopus 로고
    • Some relationships between the normal and von Mises distributions
    • 173.
    • Downs, T. D. & Gould, A. L. (1967). Some relationships between the normal and von Mises distributions. Biometrika, 54, 684-687. (173).
    • (1967) Biometrika , vol.54 , pp. 684-687
    • Downs, T.D.1    Gould, A.L.2
  • 110
    • 0014457179 scopus 로고
    • Statistical methods for vectorcardiographic directions
    • 10.
    • Downs, T. D. & Liebman, J. (1969). Statistical methods for vectorcardiographic directions. IEEE Trans. Bio-med. Engr., 16, 87-94. (10).
    • (1969) IEEE Trans. Bio-med. Engr. , vol.16 , pp. 87-94
    • Downs, T.D.1    Liebman, J.2
  • 111
    • 84981741668 scopus 로고
    • Contribution to discussion of Goodall (1991)
    • 345.
    • Dryden, I. L. (1991). Contribution to discussion of Goodall (1991). J. Roy. Statist. Soc. Ser. B, 53, 327 328. (345).
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 327 328
    • Dryden, I.L.1
  • 112
    • 0542375657 scopus 로고
    • Investigating regularity in spatial point patterns using shape analysis
    • K. V. Mardia & C. A. Gill (eds), University of Leeds Press, Leeds. (321).
    • Dryden, I. L., Faghihi, M. & Taylor, C. C. (1995). Investigating regularity in spatial point patterns using shape analysis. In K. V. Mardia & C. A. Gill (eds), Current Issues in Statistical Shape Analysis, pp. 40-48, University of Leeds Press, Leeds. (321).
    • (1995) Current Issues in Statistical Shape Analysis , pp. 40-48
    • Dryden, I.L.1    Faghihi, M.2    Taylor, C.C.3
  • 113
    • 0000935812 scopus 로고
    • General shape distributions in a plane
    • 325, 343, 345.
    • Dryden, I. L. & Mardia, K. V. (1991). General shape distributions in a plane. Adv. Appl. Prob., 23, 259-276. (325, 343, 345).
    • (1991) Adv. Appl. Prob. , vol.23 , pp. 259-276
    • Dryden, I.L.1    Mardia, K.V.2
  • 114
    • 0001091480 scopus 로고
    • Multivariate shape analysis
    • 347.
    • Dryden, I. L. & Mardia, K. V. (1993). Multivariate shape analysis. Sanhkya Ser. A, 55, 460-480. (347).
    • (1993) Sanhkya Ser. A , vol.55 , pp. 460-480
    • Dryden, I.L.1    Mardia, K.V.2
  • 115
    • 0003489720 scopus 로고    scopus 로고
    • Statistical Shape Analysis
    • Wiley, Chichester. (303, 304, 308, 309, 311, 319, 325, 333, 341, 345, 346, 347).
    • Dryden, I. L. & Mardia, K. V. (1998). Statistical Shape Analysis. Wiley, Chichester. (303, 304, 308, 309, 311, 319, 325, 333, 341, 345, 346, 347).
    • (1998)
    • Dryden, I.L.1    Mardia, K.V.2
  • 116
    • 0040027178 scopus 로고
    • Spatial median and directional data
    • 275.
    • Ducharme, G. R. & Milasevic, P. (1987). Spatial median and directional data. Biometrika, 74, 212-215. (275).
    • (1987) Biometrika , vol.74 , pp. 212-215
    • Ducharme, G.R.1    Milasevic, P.2
  • 117
    • 84910886416 scopus 로고
    • Some asymptotic properties of the circular median
    • 275.
    • Ducharme, G. R. & Milasevic, P. (1987). Some asymptotic properties of the circular median. Comm. Statist. Theory Methods, 16, 659-664. (275).
    • (1987) Comm. Statist. Theory Methods , vol.16 , pp. 659-664
    • Ducharme, G.R.1    Milasevic, P.2
  • 118
    • 84988119555 scopus 로고
    • Estimating the concentration of the Langevin distribution
    • 276.
    • Ducharme, G. R. & Milasevic, P. (1990). Estimating the concentration of the Langevin distribution. Canad. J. Statist., 18, 163-169. (276).
    • (1990) Canad. J. Statist. , vol.18 , pp. 163-169
    • Ducharme, G.R.1    Milasevic, P.2
  • 119
    • 0042168052 scopus 로고
    • Bootstrap confidence cones for directional data
    • 277.
    • Ducharme, G. R., Jhun, M., Romano, J. & Truong, K. N. (1985). Bootstrap confidence cones for directional data. Biometrika, 72, 637-645. (277).
    • (1985) Biometrika , vol.72 , pp. 637-645
    • Ducharme, G.R.1    Jhun, M.2    Romano, J.3    Truong, K.N.4
  • 120
    • 0042307597 scopus 로고
    • Random unit vectors II: Usefulness of Gram-Charlier and related series in approximating distributions
    • 67, 99.
    • Durand, D. & Greenwood, J. A. (1957). Random unit vectors II: Usefulness of Gram-Charlier and related series in approximating distributions. Ann. Math. Statist., 28, 978-985. (67, 99).
    • (1957) Ann. Math. Statist. , vol.28 , pp. 978-985
    • Durand, D.1    Greenwood, J.A.2
  • 121
    • 0003991665 scopus 로고
    • An Introduction to the Bootstrap
    • Chapman and Hall, London. (277).
    • Efron B. & Tibshirani, R. (1993). An Introduction to the Bootstrap. Chapman and Hall, London. (277).
    • (1993)
    • Efron, B.1    Tibshirani, R.2
  • 122
    • 57449083143 scopus 로고
    • The small sample distribution of a Mann Whitney type statistic for circular data
    • 156.
    • Eplett, W. J. R. (1979). The small sample distribution of a Mann Whitney type statistic for circular data. Ann. Statist, 7, 446-453. (156).
    • (1979) Ann. Statist , vol.7 , pp. 446-453
    • Eplett, W.J.R.1
  • 123
    • 57449102710 scopus 로고
    • Two Mann-Whitney type rank tests
    • 156.
    • Eplett, W. J. R. (1982). Two Mann-Whitney type rank tests. J. Roy. Statist. Soc. Ser. B, 44, 270-286. (156).
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 270-286
    • Eplett, W.J.R.1
  • 124
    • 0346217922 scopus 로고
    • Testing unit vectors for correlation
    • 263.
    • Epp, R. J., Tukey, J. W. & Watson, G. S. (1971). Testing unit vectors for correlation. J. Geophys. Res., 76, 8480-8483. (263).
    • (1971) J. Geophys. Res. , vol.76 , pp. 8480-8483
    • Epp, R.J.1    Tukey, J.W.2    Watson, G.S.3
  • 125
    • 0003421261 scopus 로고
    • An Introduction to Probability Theory and its Applications
    • Wiley, New York. (27, 54, 57, 64).
    • Feller, W. (1966). An Introduction to Probability Theory and its Applications, Vol. 2. Wiley, New York. (27, 54, 57, 64).
    • (1966) , vol.2
    • Feller, W.1
  • 126
    • 47749103686 scopus 로고
    • Robust estimation of the concentration parameter of Fisher's distribution on the sphere
    • 276.
    • Fisher, N. I. (1982). Robust estimation of the concentration parameter of Fisher's distribution on the sphere. Appl. Statist., 31, 152-154. (276).
    • (1982) Appl. Statist. , vol.31 , pp. 152-154
    • Fisher, N.I.1
  • 128
    • 84985516443 scopus 로고
    • Robust comparison of dispersions for samples of directional data
    • 276.
    • Fisher, N. I. (1986). Robust comparison of dispersions for samples of directional data. Austral. J. Statist., 28, 213 219. (276).
    • (1986) Austral. J. Statist. , vol.28 , pp. 213-219
    • Fisher, N.I.1
  • 129
    • 0022825832 scopus 로고
    • Robust tests for comparing the dispersions of several Fisher or Watson distributions on the sphere
    • 276.
    • Fisher, X. I. (1986)- Robust tests for comparing the dispersions of several Fisher or Watson distributions on the sphere. Geophys. J. Roy. Astr. Soc, 85, 563-572. (276).
    • (1986) Geophys. J. Roy. Astr. Soc , vol.85 , pp. 563-572
    • Fisher, X.I.1
  • 130
    • 85085268264 scopus 로고
    • Statistical Analysis of Circular Data
    • Cambridge University Press, Cambridge, (xx, 86, 139, 248, 250, 254, 258, 264, 277).
    • Fisher, N. I. (1993). Statistical Analysis of Circular Data. Cambridge University Press, Cambridge, (xx, 86, 139, 248, 250, 254, 258, 264, 277).
    • (1993)
    • Fisher, N.I.1
  • 131
    • 84985560901 scopus 로고
    • Goodness-of-fit tests for Fisher's distribution on the sphere
    • 270.
    • Fisher, N. I. & Best, D. J. (1984). Goodness-of-fit tests for Fisher's distribution on the sphere. Austral. J. Statist, 26, 142 150. (270).
    • (1984) Austral. J. Statist , vol.26 , pp. 142 150
    • Fisher, N.I.1    Best, D.J.2
  • 132
    • 0010163420 scopus 로고
    • Bootstrap confidence regions for directional data
    • Fisher, N. I. & Hall, P. (1989). Bootstrap confidence regions for directional data. J. Amer. Statist. Assoc., 84, 996-1002.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 996-1002
    • Fisher, N.I.1    Hall, P.2
  • 133
    • 84981727748 scopus 로고
    • Bootstrap confidence regions for directional data
    • (277).
    • Fisher N.I. & Hall P. (1990), Bootstrap confidence regions for directional data. J. Amer. Statist. Assoc., 85, 608. (277).
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 608
    • Fisher, N.I.1    Hall, P.2
  • 134
  • 135
    • 5244259634 scopus 로고
    • Non-parametric measures of angular-linear association
    • 248.
    • Fisher, N. I. k Lee, A. J. (1981). Non-parametric measures of angular-linear association. Biometrika, 68, 629-636- (248).
    • (1981) Biometrika , vol.68 , pp. 629-636
    • Fisher N.I.k Lee, A.J.1
  • 136
    • 0006022535 scopus 로고
    • Non-parametric measures of angular-angular association
    • 250, 252, 254.
    • Fisher, N. I. & Lee, A. J. (1982). Non-parametric measures of angular-angular association. Biometrika, 69, 315-321. (250, 252, 254).
    • (1982) Biometrika , vol.69 , pp. 315-321
    • Fisher, N.I.1    Lee, A.J.2
  • 137
    • 0000110964 scopus 로고
    • A correlation coefficient for circular data
    • 250, 252, 256.
    • Fisher, N. I. & Lee, A. J. (1983). A correlation coefficient for circular data. Biometrika, 70, 327-332. (250, 252, 256).
    • (1983) Biometrika , vol.70 , pp. 327-332
    • Fisher, N.I.1    Lee, A.J.2
  • 138
    • 0000538648 scopus 로고
    • Correlation coefficients for random variables on a sphere or hypersphe
    • 255. 256. 257.
    • Fisher, N. I. & Lee, A. J. (1986). Correlation coefficients for random variables on a sphere or hypersphere. Biometrika, 73, 159- 164. (255. 256. 257).
    • (1986) Biometrika , vol.73 , pp. 159-164
    • Fisher, N.I.1    Lee, A.J.2
  • 139
    • 0026616318 scopus 로고
    • Regression models for an angular response
    • 258.
    • Fisher, N. I. & Lee, A. J. (1992). Regression models for an angular response. Biometrics, 48, 665-677. (258).
    • (1992) Biometrics , vol.48 , pp. 665-677
    • Fisher, N.I.1    Lee, A.J.2
  • 140
    • 0008220418 scopus 로고
    • Time series analysis of circular data
    • 264.
    • Fisher, N. I. & Lee, A. J. (1994). Time series analysis of circular data. J. Roy. Statist. Soc. Ser. B, 56, 327-339. (264).
    • (1994) J. Roy. Statist. Soc. Ser. B , vol.56 , pp. 327-339
    • Fisher, N.I.1    Lee, A.J.2
  • 141
    • 0009963874 scopus 로고
    • Estimating the common mean direction of several circular or spherical distributions with differing dispersions
    • 215.
    • Fisher, N. I. & Lewis, T. (1983). Estimating the common mean direction of several circular or spherical distributions with differing dispersions. Biometrika, 70, 333- 341. (215).
    • (1983) Biometrika , vol.70 , pp. 333-341
    • Fisher, N.I.1    Lewis, T.2
  • 143
    • 85040956613 scopus 로고
    • Statistical Analysis of Spherical Data
    • Cambridge Univ. Press, Cambridge. 1st paperback edition (with corrections) (1993). (xx, 194, 215, 270, 272, 277).
    • Fisher, N. I., Lewis, T. & Embleton, B. J. J. (1987). Statistical Analysis of Spherical Data. Cambridge Univ. Press, Cambridge. 1st paperback edition (with corrections) (1993). (xx, 194, 215, 270, 272, 277).
    • (1987)
    • Fisher, N.I.1    Lewis, T.2    Embleton, B.J.J.3
  • 144
    • 0006176893 scopus 로고
    • Tests of discordancy for samples from Fisher's distribution on the sphere
    • 268.
    • Fisher, N. I., Lewis, T. & Willcox, M. E. (1981). Tests of discordancy for samples from Fisher's distribution on the sphere. Appl. Statist., 26, 230-237. (268).
    • (1981) Appl. Statist. , vol.26 , pp. 230-237
    • Fisher, N.I.1    Lewis, T.2    Willcox, M.E.3
  • 146
    • 84945791537 scopus 로고
    • A useful decomposition of the resultant length for samples from the von Mises-Fisher distributions
    • 190.
    • Fisher, N. I. & Willcox, M. E. (1978). A useful decomposition of the resultant length for samples from the von Mises-Fisher distributions. Comm. Statist. Simulation Comput., 7, 257-267. (190).
    • (1978) Comm. Statist. Simulation Comput. , vol.7 , pp. 257-267
    • Fisher, N.I.1    Willcox, M.E.2
  • 147
    • 0030327433 scopus 로고    scopus 로고
    • Improved pivotal methods for constructing confidence regions with directional data
    • 277.
    • Fisher, N. I., Hall, P., Jing, B.-Y., & Wood, A. T. A. (1996). Improved pivotal methods for constructing confidence regions with directional data. J. Amer. Statist. Assoc, 91, 1062-1070. (277).
    • (1996) J. Amer. Statist. Assoc , vol.91 , pp. 1062-1070
    • Fisher, N.I.1    Hall, P.2    Jing, B.-Y.3    Wood, A.T.A.4
  • 148
    • 0002664746 scopus 로고
    • Tests of significance in harmonic analysis
    • 107.
    • Fisher, R. A. (1929). Tests of significance in harmonic analysis. Proc. Roy. Soc. London Ser. A, 125, 54-59. (107).
    • (1929) Proc. Roy. Soc. London Ser. A , vol.125 , pp. 54-59
    • Fisher, R.A.1
  • 149
    • 0001763140 scopus 로고
    • Dispersion on a sphere
    • 166, 168, 170, 186, 216.
    • Fisher, R. A. (1953). Dispersion on a sphere. Proc. Roy. Soc. London Ser. A, 217, 295-305. (166, 168, 170, 186, 216).
    • (1953) Proc. Roy. Soc. London Ser. A , vol.217 , pp. 295-305
    • Fisher, R.A.1
  • 150
    • 0003459504 scopus 로고
    • Statistical Methods and Scientific Inference
    • 2nd ed. Oliver and Boyd, Edinburgh. (120).
    • Fisher, R. A. (1959). Statistical Methods and Scientific Inference, 2nd ed. Oliver and Boyd, Edinburgh. (120).
    • (1959)
    • Fisher, R.A.1
  • 151
    • 0004246189 scopus 로고
    • Inference and Linear Models
    • McGraw-Hill, New York. (47, 92).
    • Fraser, D. A. S. (1979). Inference and Linear Models. McGraw-Hill, New York. (47, 92).
    • (1979)
    • Fraser, D.A.S.1
  • 152
    • 0038429672 scopus 로고
    • Identifiability of finite mixtures of von Mises distributions
    • 90.
    • Fraser, M. D., Hsu, Y.-S. & Walker, J. J. (1981). Identifiability of finite mixtures of von Mises distributions. Ann. Statist, 9, 1130-1131. (90).
    • (1981) Ann. Statist , vol.9 , pp. 1130-1131
    • Fraser, M.D.1    Hsu, Y.-S.2    Walker, J.J.3
  • 153
    • 0018603711 scopus 로고
    • The use of a Kolmogorov Sminiov type statistic in testing hypotheses about seasonal variation
    • 103.
    • Freedman, L. S. (1979). The use of a Kolmogorov Sminiov type statistic in testing hypotheses about seasonal variation. J. Epidetn. Comm. Health, 33, 223-228. (103).
    • (1979) J. Epidetn. Comm. Health , vol.33 , pp. 223-228
    • Freedman, L.S.1
  • 154
    • 0006099511 scopus 로고
    • N statistic for a discrete distribution
    • 117.
    • N statistic for a discrete distribution. Biometrika, 68, 708 711. (117).
    • (1981) Biometrika , vol.68 , pp. 708 711
    • Freedman, L.S.1
  • 155
    • 38249009833 scopus 로고
    • Tests for the mean direction of the Langevin distribution with large concentration parameter
    • 217.
    • Fujikoshi, Y. & Watamori, Y. (1992). Tests for the mean direction of the Langevin distribution with large concentration parameter. J. Multivariate Anal., 42, 210- 225. (217).
    • (1992) J. Multivariate Anal. , vol.42 , pp. 210-225
    • Fujikoshi, Y.1    Watamori, Y.2
  • 156
    • 84864632425 scopus 로고
    • Sequential analysis for angular data
    • 282.
    • Gadsden, R. J. & Kanji, G. K. (1981). Sequential analysis for angular data. Statistician, 30, 119-129. (282).
    • (1981) Statistician , vol.30 , pp. 119-129
    • Gadsden, R.J.1    Kanji, G.K.2
  • 157
    • 84864575027 scopus 로고
    • Sequential analysis applied to circular data
    • 282.
    • Gadsden, E. J. & Kanji, G. K. (1982). Sequential analysis applied to circular data. Sequential Anal., 1, 305- 314. (282).
    • (1982) Sequential Anal. , vol.1 , pp. 305-314
    • Gadsden, E.J.1    Kanji, G.K.2
  • 158
    • 0009019310 scopus 로고
    • The distribution of "Student's" ratio for non-normal samples
    • 66.
    • Geary, R. C. (1936). The distribution of "Student's" ratio for non-normal samples. J.'Roy. Statist. Sac. Ser. B, 3, 178 184. (66).
    • (1936) J.'Roy. Statist. Sac. Ser. B , vol.3 , pp. 178 184
    • Geary, R.C.1
  • 159
    • 0000861689 scopus 로고
    • Invariant tests for uniformity on compact Riemannian manifolds based on Sobolev norms
    • 209, 210, 233, 234, 240, 241, 243, 300.
    • Gine, M. E. (1975). Invariant tests for uniformity on compact Riemannian manifolds based on Sobolev norms. Ann. Statist, 3, 1243-1266. (209, 210, 233, 234, 240, 241, 243, 300).
    • (1975) Ann. Statist , vol.3 , pp. 1243-1266
    • Gine, M.E.1
  • 160
    • 0000142472 scopus 로고
    • Procrustes methods in the statistical analysis of shape (with discussion)
    • 310, 339.
    • Goodall C. R. (1991). Procrustes methods in the statistical analysis of shape (with discussion). J. Roy. Statist. Soc. Ser. B, 53, 285-339. (310, 339).
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 285-339
    • Goodall, C.R.1
  • 161
    • 21144473010 scopus 로고
    • Multivariate aspects of shape theory
    • 325, 345.
    • Goodall, C. R. & Mardia, K. V. (1993). Multivariate aspects of shape theory. Ann. Statist, 21, 848-866. (325, 345).
    • (1993) Ann. Statist , vol.21 , pp. 848-866
    • Goodall, C.R.1    Mardia, K.V.2
  • 163
    • 60649090632 scopus 로고
    • A characterization of the von Mises distribution
    • 43.
    • Gordon, L. & Hudson, M. (1977). A characterization of the von Mises distribution. Ann. Statist., 5, 813-814. (43).
    • (1977) Ann. Statist. , vol.5 , pp. 813-814
    • Gordon, L.1    Hudson, M.2
  • 164
    • 0014643770 scopus 로고
    • A regression technique for angular variates
    • 10, 257.
    • Gould, A. L. (1969). A regression technique for angular variates. Biometrics, 25, 683-700. (10, 257).
    • (1969) Biometrics , vol.25 , pp. 683-700
    • Gould, A.L.1
  • 165
    • 0000983051 scopus 로고
    • The distribution of length and components of the sum of n random unit vectors
    • 67, 69, 71, 95.
    • Greenwood, J. A. & Durand, D. (1955). The distribution of length and components of the sum of n random unit vectors. Ann. Math. Statist., 26, 233-246. (67, 69, 71, 95).
    • (1955) Ann. Math. Statist. , vol.26 , pp. 233-246
    • Greenwood, J.A.1    Durand, D.2
  • 166
    • 0001000479 scopus 로고
    • The circular normal distribution: theory and tables
    • 363.
    • Gumbel, E. J., Greenwood, J.A. and Durand, D. (1953). The circular normal distribution: theory and tables. J. Amer. Statist. Assoc, 48, 131-152. (363).
    • (1953) J. Amer. Statist. Assoc , vol.48 , pp. 131-152
    • Gumbel, E.J.1    Greenwood, J.A.2    Durand, D.3
  • 167
    • 0009963601 scopus 로고
    • Finding the location of a signal - a Bayesiau analysis
    • 279.
    • Guttorp, P. & Lockhart, R. A. (1988). Finding the location of a signal - a Bayesiau analysis. J. Amer. Statist. Assoc, 83, 322-330. (279).
    • (1988) J. Amer. Statist. Assoc , vol.83 , pp. 322-330
    • Guttorp, P.1    Lockhart, R.A.2
  • 168
    • 84965956920 scopus 로고
    • Theory of Rank Tests
    • Academia, Prague. (247, 251).
    • Hajek, J. & Sidak, Z. (1967). Theory of Rank Tests. Academia, Prague. (247, 251).
    • (1967)
    • Hajek, J.1    Sidak, Z.2
  • 169
    • 0001445530 scopus 로고
    • Kernel density estimation with spherical data
    • 278.
    • Hall, P., Watson, G. S. & Cabrera, J. (1987). Kernel density estimation with spherical data. Biometrika, 74, 751 762. (278).
    • (1987) Biometrika , vol.74 , pp. 751 762
    • Hall, P.1    Watson, G.S.2    Cabrera, J.3
  • 170
    • 0025207204 scopus 로고
    • Smoothing and extrapolation of crustal stress orientation measurements
    • 282.
    • Hansen, K. M. & Mount, V. S. (1990). Smoothing and extrapolation of crustal stress orientation measurements. J. Geophys. Res., 95 (B2), 1155-1165. (282).
    • (1990) J. Geophys. Res. , vol.95 , Issue.B2 , pp. 1155-1165
    • Hansen, K.M.1    Mount, V.S.2
  • 172
    • 33745962290 scopus 로고
    • The development of analysis of variance for circular data
    • 138, 141, 227.
    • Harrison, D. & Kanji, G. K. (1988). The development of analysis of variance for circular data. J. Appl. Statist., 15, 197-224. (138, 141, 227).
    • (1988) J. Appl. Statist. , vol.15 , pp. 197-224
    • Harrison, D.1    Kanji, G.K.2
  • 173
    • 33745948792 scopus 로고
    • Analysis of variance for circular data
    • 138, 139, 141, 227.
    • Harrison, D., Kanji, G. K., & Gadsden, R. J. (1986). Analysis of variance for circular data. J. Appl. Statist., 13, 123-138. (138, 139, 141, 227).
    • (1986) J. Appl. Statist. , vol.13 , pp. 123-138
    • Harrison, D.1    Kanji, G.K.2    Gadsden, R.J.3
  • 174
    • 0001557950 scopus 로고
    • "Normal" distribution functions on spheres and the modified Bessel functions
    • 173.
    • Hartman, P. & Watson, G. S. (1974). "Normal" distribution functions on spheres and the modified Bessel functions. Arm. Probab., 2. 593 607. (173).
    • (1974) Arm. Probab. , vol.2 , pp. 593 607
    • Hartman, P.1    Watson, G.S.2
  • 175
    • 0040442882 scopus 로고
    • On tests for the mean direction of the Langeviu distribution
    • 210, 212, 213.
    • Hayakawa, T. (1990). On tests for the mean direction of the Langeviu distribution. Ann. Inst. Statist. Math., 42, 359-376. (210, 212, 213).
    • (1990) Ann. Inst. Statist. Math. , vol.42 , pp. 359-376
    • Hayakawa, T.1
  • 176
    • 51249172935 scopus 로고
    • Asymptotic expansions of the distributions of some test statistics
    • 213.
    • Hayakawa, T. & Puri, M. L. (1985). Asymptotic expansions of the distributions of some test statistics. Ann. Inst. Statist. Math., 37, 95-108. (213).
    • (1985) Ann. Inst. Statist. Math. , vol.37 , pp. 95-108
    • Hayakawa, T.1    Puri, M.L.2
  • 178
    • 0001726911 scopus 로고
    • Robust direction estimation
    • 274.
    • He, X. & Simpson, D. G. (1992). Robust direction estimation. Ann. Statist. 20, 351-369. (274).
    • (1992) Ann. Statist. , vol.20 , pp. 351-369
    • He, X.1    Simpson, D.G.2
  • 180
    • 0030543857 scopus 로고    scopus 로고
    • An empirical Bayes approach to directional data and efficient computation on the sphere
    • 279.
    • Healy, D. M. & Kim, P. T. (1996). An empirical Bayes approach to directional data and efficient computation on the sphere. Ann. Statist, 24, 232-254. (279).
    • (1996) Ann. Statist , vol.24 , pp. 232-254
    • Healy, D.M.1    Kim, P.T.2
  • 181
    • 0001583657 scopus 로고
    • Non-parametric estimation of a probability density on a Riemannian manifold using Fourier expansions
    • 278.
    • Hendriks, H. (1990). Non-parametric estimation of a probability density on a Riemannian manifold using Fourier expansions. Ann. Statist., 18,832-849. (278).
    • (1990) Ann. Statist. , vol.18 , pp. 832-849
    • Hendriks, H.1
  • 182
    • 0000464675 scopus 로고
    • A Cramer-Rao type lower bound for estimators with values in a manifold
    • 84, 300.
    • Hendriks, H. (1991). A Cramer-Rao type lower bound for estimators with values in a manifold. J. Multivariate Anal., 38, 245-261. (84, 300).
    • (1991) J. Multivariate Anal. , vol.38 , pp. 245-261
    • Hendriks, H.1
  • 183
    • 3042906496 scopus 로고
    • Strong uniform convergence of density estimators on compact Euclidean manifolds
    • 278.
    • Hendriks, H., Jaussen, J. H. M. & Ruymgaart, F. H. (1993). Strong uniform convergence of density estimators on compact Euclidean manifolds. Statist. Probab. Lett., 16, 301-305. (278).
    • (1993) Statist. Probab. Lett. , vol.16 , pp. 301-305
    • Hendriks, H.1    Jaussen, J.H.M.2    Ruymgaart, F.H.3
  • 184
    • 0030080006 scopus 로고    scopus 로고
    • Asymptotic behavior of sample mean location for manifolds
    • 301.
    • Hendriks, H. He Landsman, Z. (1996). Asymptotic behavior of sample mean location for manifolds. Statist. Probab. Lett., 26, 169-178. (301).
    • (1996) Statist. Probab. Lett. , vol.26 , pp. 169-178
    • Hendriks, H.1    He Landsman, Z.2
  • 185
  • 186
    • 0040678209 scopus 로고    scopus 로고
    • Mean location and sample mean location on manifolds: asymptotics, tests, confidence regions
    • 301.
    • Hendriks, H. & Landsman, Z. (1998). Mean location and sample mean location on manifolds: asymptotics, tests, confidence regions. J. Multivariate Anal., 67, 227-243. (301).
    • (1998) J. Multivariate Anal. , vol.67 , pp. 227-243
    • Hendriks, H.1    Landsman, Z.2
  • 187
    • 0030295988 scopus 로고    scopus 로고
    • Asymptotic behavior of sample mean direction for spheres
    • 77, 188.
    • Hendriks, H., Landsman, Z. & Ruymgaart, F. (1996). Asymptotic behavior of sample mean direction for spheres. J. Multivariate. Anal., 59, 141-152. (77, 188).
    • (1996) J. Multivariate. Anal. , vol.59 , pp. 141-152
    • Hendriks, H.1    Landsman, Z.2    Ruymgaart, F.3
  • 188
    • 77949911435 scopus 로고
    • A new Sobolev test for uniformity on the circle
    • 109.
    • Hermans, M. & Rasson, J. P. (1985). A new Sobolev test for uniformity on the circle. Biometrika, 72, 698-702. (109).
    • (1985) Biometrika , vol.72 , pp. 698-702
    • Hermans, M.1    Rasson, J.P.2
  • 189
    • 0017106789 scopus 로고
    • New approximations to the von Mises distribution
    • 41.
    • Hill, G. W. (1976). New approximations to the von Mises distribution. Biometrika, 63, 673-676. (41).
    • (1976) Biometrika , vol.63 , pp. 673-676
    • Hill, G.W.1
  • 190
    • 0347603694 scopus 로고
    • Algorithm 518: Incomplete Bessel function Jo(-r); the von Mises distribution
    • 41.
    • Hill, G. W. (1977). Algorithm 518: Incomplete Bessel function Jo(-r); the von Mises distribution. ACM Trans. Math. Software, 3, 279-284. (41).
    • (1977) ACM Trans. Math. Software , vol.3 , pp. 279-284
    • Hill, G.W.1
  • 191
    • 84972541029 scopus 로고
    • A statistical derivation of the significant-digit law
    • 65.
    • Hill, T. P. (1995). A statistical derivation of the significant-digit law. Statist. Sci., 10, 354-363. (65).
    • (1995) Statist. Sci. , vol.10 , pp. 354-363
    • Hill, T.P.1
  • 192
    • 0001016811 scopus 로고
    • A bivariate sign test
    • 106, 366.
    • Hodges J. L. (1955). A bivariate sign test. Ann. Math. Statist., 26, 523-527. (106, 366).
    • (1955) Ann. Math. Statist. , vol.26 , pp. 523-527
    • Hodges, J.L.1
  • 193
    • 10644264968 scopus 로고
    • Rock magnetism and polar wandering
    • 216.
    • Hospers, J. (1955). Rock magnetism and polar wandering. J. Geol., 63, 59-74. (216).
    • (1955) J. Geol. , vol.63 , pp. 59-74
    • Hospers, J.1
  • 194
    • 0003157339 scopus 로고
    • Robust estimation of a location parameter
    • 275.
    • Huber, P. (1964). Robust estimation of a location parameter. Ann. Math. Statist., 35, 73-101. (275).
    • (1964) Ann. Math. Statist. , vol.35 , pp. 73-101
    • Huber, P.1
  • 195
    • 84981704841 scopus 로고
    • The IMSL Libraries
    • Edition 2.0. IMSL Inc., Sugar Laud, TX. (43).
    • IMSL (1991). The IMSL Libraries. Edition 2.0. IMSL Inc., Sugar Laud, TX. (43).
    • (1991)
  • 196
    • 70350304568 scopus 로고
    • Nonparametric methods in directional data analysis
    • P. R. Krishuaiah h P. K. Sen (eds), Elsevier, Amsterdam. (145).
    • Jammalamadaka, S. R. (1984). Nonparametric methods in directional data analysis. In P. R. Krishuaiah h P. K. Sen (eds), Handbook of Statistics, Vol 4: Nonparametric Methods, pp. 755-770. Elsevier, Amsterdam. (145).
    • (1984) Handbook of Statistics, Nonparametric Methods , vol.4 , pp. 755-770
    • Jammalamadaka, S.R.1
  • 197
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • 43.
    • Jayues, E. T. (1957). Information theory and statistical mechanics. Phys. Rev. Ser. A, 106, 620-630. (43).
    • (1957) Phys. Rev. Ser. A , vol.106 , pp. 620-630
    • Jayues, E.T.1
  • 199
    • 84981719964 scopus 로고
    • Tlieory of Probability
    • 2nd ed, Oxford Univ. Press, Oxford. (48).
    • Jeffreys, H. (1948). Tlieory of Probability, 2nd ed, Oxford Univ. Press, Oxford. (48).
    • (1948)
    • Jeffreys, H.1
  • 200
    • 0007158290 scopus 로고
    • On the hvperboloid distribution
    • 297, 298, 299.
    • Jensen, J. L. (1981). On the hvperboloid distribution. Scand. J. Statist. 8,193-206. (297, 298, 299).
    • (1981) Scand. J. Statist. , vol.8 , pp. 193-206
    • Jensen, J.L.1
  • 201
    • 0004141406 scopus 로고
    • Saddlepoint Approximations
    • Oxford University Press, Oxford. (68, 207).
    • Jensen, J. L. (1995). Saddlepoint Approximations. Oxford University Press, Oxford. (68, 207).
    • (1995)
    • Jensen, J.L.1
  • 202
    • 0001099762 scopus 로고
    • Measures and models for angular correlation and angular-linear correlation
    • 246, 256.
    • Johnson, R. A. &, Wchrly, T. (1977). Measures and models for angular correlation and angular-linear correlation. J. Roy. Statist. Soc. Ser. B, 38, 222-229. (246, 256).
    • (1977) J. Roy. Statist. Soc. Ser. B , vol.38 , pp. 222-229
    • Johnson, R.A.1    Wchrly, T.2
  • 203
    • 0043260368 scopus 로고
    • Some angular-linear distributions and related regression models
    • 257, 258, 261, 262, 263.
    • Johnson, R. A. & Wehrly, T. (1978). Some angular-linear distributions and related regression models. J. Amer. Statist. Assoc., 73, 602-606. (257, 258, 261, 262, 263).
    • (1978) J. Amer. Statist. Assoc. , vol.73 , pp. 602-606
    • Johnson, R.A.1    Wehrly, T.2
  • 204
    • 0005825869 scopus 로고
    • Analysis of bimodal orientation data
    • 90.
    • Jones, T. A. & James, W. R. (1969). Analysis of bimodal orientation data. Math. Geol, 1, 129-135. (90).
    • (1969) Math. Geol , vol.1 , pp. 129-135
    • Jones, T.A.1    James, W.R.2
  • 206
    • 0006022536 scopus 로고
    • A non-parametric correlation coefficient and a two-sample test for random vectors or directions
    • 255.
    • Jupp, P. E. (1987). A non-parametric correlation coefficient and a two-sample test for random vectors or directions. Biometrika, 74, 887-890. (255).
    • (1987) Biometrika , vol.74 , pp. 887-890
    • Jupp, P.E.1
  • 207
    • 0000971145 scopus 로고
    • Residuals for directional data
    • 261.
    • Jupp, P. E. (1988). Residuals for directional data. J. Appl. Statist., 15, 137 147. (261).
    • (1988) J. Appl. Statist. , vol.15 , pp. 137 147
    • Jupp, P.E.1
  • 208
    • 84981722848 scopus 로고
    • Some applications of directional statistics to astronomy
    • E.-M. Tiit, T. Kollo & H. Nierai (eds), VSP, Utrecht. (11).
    • Jupp, P. E. (1995). Some applications of directional statistics to astronomy. In E.- M. Tiit, T. Kollo & H. Nierai (eds), New Trends in Probability and Statistics. Vol. 3. Multivariate Statistics and Matrices in Statistics, pp. 123 133, VSP, Utrecht. (11).
    • (1995) New Trends in Probability and Statistics, Multivariate Statistics and Matrices in Statistics , vol.3 , pp. 123 133
    • Jupp, P.E.1
  • 209
    • 0041738902 scopus 로고    scopus 로고
    • Modifications of the Rayleigh and Bingham tests for uniformity of directions
    • 207, 233, 287, 295, 323.
    • Jupp, P. E. (2001). Modifications of the Rayleigh and Bingham tests for uniformity of directions. J. Multivariate. Anal., 77, 1-20. (207, 233, 287, 295, 323).
    • (2001) J. Multivariate. Anal. , vol.77 , pp. 1-20
    • Jupp, P.E.1
  • 210
    • 0001872605 scopus 로고
    • Fitting smooth paths to spherical data
    • 280.
    • Jupp, P. E. & Kent, J. T. (1987). Fitting smooth paths to spherical data. Appl. Statist., 36, 34-46. (280).
    • (1987) Appl. Statist. , vol.36 , pp. 34-46
    • Jupp, P.E.1    Kent, J.T.2
  • 211
    • 0000712295 scopus 로고
    • Maximum likelihood estimation for the matrix von Mises-Fisher and Bingham distributions
    • 283, 288.
    • Jupp, P. E. & Mardia, K. V. (1979). Maximum likelihood estimation for the matrix von Mises-Fisher and Bingham distributions. Ann. Statist., 7, 599-606. (283, 288).
    • (1979) Ann. Statist. , vol.7 , pp. 599-606
    • Jupp, P.E.1    Mardia, K.V.2
  • 212
    • 0018849079 scopus 로고
    • A general correlation coefficient for directional data and related regression problems
    • Jupp, P. E. & Mardia, K. V. (1980). A general correlation coefficient for directional data and related regression problems. Biometrika, 67,163-173.
    • (1980) Biometrika , vol.67 , pp. 163-173
    • Jupp, P.E.1    Mardia, K.V.2
  • 213
    • 49449105629 scopus 로고
    • A general correlation coefficient for directional data and related regression problems
    • (55, 249, 256, 262).
    • Jupp, P. E. & Mardia, K. V. (1981), A general correlation coefficient for directional data and related regression problems. Biometrika, 68, 738. (55, 249, 256, 262).
    • (1981) Biometrika , vol.68 , pp. 738
    • Jupp, P.E.1    Mardia, K.V.2
  • 214
    • 0001197510 scopus 로고
    • A unified view of the theory of directional statistics, 1975-1988
    • xviii.
    • Jupp, P. E. & Mardia, K. V. (1989). A unified view of the theory of directional statistics, 1975-1988. Inttrnat. Statist. Rev., 57, 261 294. (xviii).
    • (1989) Inttrnat. Statist. Rev. , vol.57 , pp. 261 294
    • Jupp, P.E.1    Mardia, K.V.2
  • 215
    • 0013002704 scopus 로고
    • Sobolev tests for symmetry of directional data
    • 146, 236, 243, 288, 300.
    • Jupp P. E. & Spurr, B. D. (1983). Sobolev tests for symmetry of directional data. Ann. Statist., 11, 1225-1231. (146, 236, 243, 288, 300).
    • (1983) Ann. Statist. , vol.11 , pp. 1225-1231
    • Jupp, P.E.1    Spurr, B.D.2
  • 216
    • 0039621752 scopus 로고
    • Sobolev tests for independence of directions
    • 241, 243, 253, 257, 300.
    • Jupp P. E. & Spurr, B. D. (1985). Sobolev tests for independence of directions. Ann. Statist., 13, 1140-1155. (241, 243, 253, 257, 300).
    • (1985) Ann. Statist. , vol.13 , pp. 1140-1155
    • Jupp, P.E.1    Spurr, B.D.2
  • 217
    • 84981707609 scopus 로고
    • Statistical estimation of a shock centre: Slate islands astrobleme
    • 261.
    • Jupp, P. E. & Spurr, B. D. (1989). Statistical estimation of a shock centre: Slate islands astrobleme. J. Math. Geol, 21, 191 198. (261).
    • (1989) J. Math. Geol , vol.21 , pp. 191 198
    • Jupp, P.E.1    Spurr, B.D.2
  • 218
    • 0001686066 scopus 로고
    • Statistical estimation of the apex of a sedimentary distributary system
    • 261.
    • Jupp, P. E., Spurr, B. D., Nichols. G. J. & Hirst, J. P. P. (1987). Statistical estimation of the apex of a sedimentary distributary system. J. Math. Geol., 19, 319-333. (261).
    • (1987) J. Math. Geol. , vol.19 , pp. 319-333
    • Jupp, P.E.1    Spurr, B.D.2    Nichols, G.J.3    Hirst, J.P.P.4
  • 219
    • 0004117825 scopus 로고
    • Characterization Problems in Mathematical Statistics
    • Wiley-Interscience, New York. (43).
    • Kagan, A. M., Linnik, Y. V., & Rao, C. R. (1973). Characterization Problems in Mathematical Statistics. Wiley-Interscience, New York. (43).
    • (1973)
    • Kagan, A.M.1    Linnik, Y.V.2    Rao, C.R.3
  • 220
    • 0003631764 scopus 로고
    • Geometric Computation for Machine Vision
    • Clarendon Press, Oxford. (259).
    • Kanatani, K. (1993). Geometric Computation for Machine Vision. Clarendon Press, Oxford. (259).
    • (1993)
    • Kanatani, K.1
  • 222
    • 0013074571 scopus 로고
    • A mathematical model for orientation data from macroscopic conical fol
    • 183.
    • Kelker, D. G. & Langcnberg, C. W. (1982). A mathematical model for orientation data from macroscopic conical folds. J. Math. Geol., 14, 289-307. (183).
    • (1982) J. Math. Geol. , vol.14 , pp. 289-307
    • Kelker, D.G.1    Langcnberg, C.W.2
  • 223
    • 0000291561 scopus 로고
    • The diffusion of shape
    • 303.
    • Kendall, D. G. (1977). The diffusion of shape. Adv. Appl. Probab., 9, 428-430. (303).
    • (1977) Adv. Appl. Probab. , vol.9 , pp. 428-430
    • Kendall, D.G.1
  • 224
  • 225
    • 0009362811 scopus 로고
    • The shape of Poissou-Delauuay triangles
    • H. C. Demetrescu & M. Iosifescu (eds), Nagard, Montreal. (318.
    • Kendall, D. G. (1983). The shape of Poissou-Delauuay triangles. In H. C. Demetrescu & M. Iosifescu (eds), Studies in Probability and Related Topics in Honour of Octav Onicescu, pp. 321-330, Nagard, Montreal. (318).
    • (1983) Studies in Probability and Related Topics in Honour of Octav Onicescu , pp. 321-330
    • Kendall, D.G.1
  • 226
    • 0002432238 scopus 로고
    • Shape manifolds, Procrustean metrics and complex projective spaces
    • 309, 317, 325, 345.
    • Kendall, D. G. (1984). Shape manifolds, Procrustean metrics and complex projective spaces. Bull. London Math. Soc., 16, 81 121. (309, 317, 325, 345).
    • (1984) Bull. London Math. Soc. , vol.16 , pp. 81 121
    • Kendall, D.G.1
  • 227
    • 84972538798 scopus 로고
    • A survey of the statistical theory of shape (with discussion)
    • 321.
    • Kendall, D. G. (1989). A survey of the statistical theory of shape (with discussion). Statist. Set., 4, 87-120. (321).
    • (1989) Statist. Set. , vol.4 , pp. 87-120
    • Kendall, D.G.1
  • 228
    • 84930372210 scopus 로고
    • Discussion on 'The statistical study of infectious diseases' by M. J. Greenwood
    • 108.
    • Kendall, M. G. (1946). Discussion on 'The statistical study of infectious diseases' by M. J. Greenwood. J. Roy. Statist. Soc, 109, 103-105. (108).
    • (1946) J. Roy. Statist. Soc , vol.109 , pp. 103-105
    • Kendall, M.G.1
  • 229
    • 33646714995 scopus 로고
    • Contribution to discussion of Mardia (1975)
    • 43.
    • Kent, J. T. (1975). Contribution to discussion of Mardia (1975). J. Roy. Statist. Soc. Set: B, 37, 377-378. (43).
    • (1975) J. Roy. Statist. Soc. Ser. B , vol.37 , pp. 377-378
    • Kent, J.T.1
  • 230
    • 0346405945 scopus 로고
    • The infinite divisibility of the von Mises-Fisher distribution for all values of the parameter in all dimensions
    • 173.
    • Kent, J. T. (1977). The infinite divisibility of the von Mises-Fisher distribution for all values of the parameter in all dimensions. Proc. London Math. Soc., 35, 359-384. (173).
    • (1977) Proc. London Math. Soc. , vol.35 , pp. 359-384
    • Kent, J.T.1
  • 231
    • 84974271712 scopus 로고
    • Limiting behaviour of the von Mises Fisher distribution
    • 38, 174.
    • Kent, J, T. (1978). Limiting behaviour of the von Mises Fisher distribution. Math. Proc. Cambridge Phil. Soc., 84, 531-536. (38. 174).
    • (1978) Math. Proc. Cambridge Phil. Soc. , vol.84 , pp. 531-536
    • Kent, J.T.1
  • 232
    • 0002745702 scopus 로고
    • The Fisher- Bingham distribution on the sphere
    • 175, 177, 205, 206, 273, 274.
    • Kent, J. T. (1982). The Fisher- Bingham distribution on the sphere. J. Roy. Statist. Soc. Ser. B, 44, 71-80. (175, 177, 205, 206, 273, 274).
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 71-80
    • Kent, J.T.1
  • 233
    • 2442538105 scopus 로고
    • Identifiability of finite mixtures for directional data
    • 90.
    • Kent, J. T. (1983). Identifiability of finite mixtures for directional data. Ann. Statist., 11, 954-988. (90).
    • (1983) Ann. Statist. , vol.11 , pp. 954-988
    • Kent, J.T.1
  • 234
    • 0001600762 scopus 로고
    • Information gain and a general measure of correlation
    • 255.
    • Kent, J. T. (1983). Information gain and a general measure of correlation. Biometrika, 70, 163-173. (255).
    • (1983) Biometrika , vol.70 , pp. 163-173
    • Kent, J.T.1
  • 235
    • 0006591413 scopus 로고
    • Asymptotic expansions for the Bingham distribution
    • 182, 204).
    • Kent, J. T. (1987). Asymptotic expansions for the Bingham distribution. Appl. Statist., 36, 139-144. (182, 204).
    • (1987) Appl. Statist. , vol.36 , pp. 139-144
    • Kent, J.T.1
  • 236
    • 0003168245 scopus 로고
    • New directions in shape analysis
    • K. V. Mardia (ed.), Wiley, Chichester. (309, 310, 313, 314, 344).
    • Kent, J. T. (1992). New directions in shape analysis. In K. V. Mardia (ed.), The Art of Statistical Science: A Tribute to G. S. Watson, pp. 115-127. Wiley, Chichester. (309, 310, 313, 314, 344).
    • (1992) The Art of Statistical Science: A Tribute to G. S. Watson , pp. 115-127
    • Kent, J.T.1
  • 237
    • 0001034467 scopus 로고
    • The complex Bingham distribution and shape analysis
    • 182, 310, 312, 315, 317, 324, 327, 332, 333.
    • Kent. J. T. (1994). The complex Bingham distribution and shape analysis. J. Roy. Statist. Soc. Ser. B, 56, 285-299. (182, 310, 312, 315, 317, 324, 327, 332, 333).
    • (1994) J. Roy. Statist. Soc. Ser. B , vol.56 , pp. 285-299
    • Kent, J.T.1
  • 238
    • 0031067284 scopus 로고    scopus 로고
    • Data analysis for shapes and images
    • 343.
    • Kent, J. T. (1997). Data analysis for shapes and images. J. Statist. Plan. Inference, 57, 181-193. (343).
    • (1997) J. Statist. Plan. Inference , vol.57 , pp. 181-193
    • Kent, J.T.1
  • 239
    • 0010866535 scopus 로고
    • Statistical shape methodology
    • O. Yiug-Lie, A. Toet. D. Foster & P. Mecr (eds), Springer- Verlag, Berlin. (313).
    • Kent, J. T. & Mardia, K- V. (1994). Statistical shape methodology. In O. Yiug-Lie, A. Toet. D. Foster & P. Mecr (eds), Shape in Picture, pp. 443-452. Springer- Verlag, Berlin. (313).
    • (1994) Shape in Picture , pp. 443-452
    • Kent, J.T.1    Mardia, K.V.2
  • 240
    • 0001012387 scopus 로고    scopus 로고
    • Consistency of Procrustes estimators
    • 179.
    • Kent, J. T. & Mardia, K. V. (1997). Consistency of Procrustes estimators. J. Roy. Statist. Soc. Ser. B, 59, 281-290. (179).
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 281-290
    • Kent, J.T.1    Mardia, K.V.2
  • 241
    • 0021063429 scopus 로고
    • Linear and planar structure in ordered multivariate data as applied to progressive demagnetization of palacomagnetic resonance
    • 281.
    • Kent, J. T., Briden, J. C. & Mardia, K. V. (1983). Linear and planar structure in ordered multivariate data as applied to progressive demagnetization of palacomagnetic resonance. Geophys. J. Roy. Astron. Soc, 75, 593-621. (281).
    • (1983) Geophys. J. Roy. Astron. Soc , vol.75 , pp. 593-621
    • Kent, J.T.1    Briden, J.C.2    Mardia, K.V.3
  • 242
    • 84877123528 scopus 로고
    • A characterization of the uniform distribution on the circle
    • 66, 184.
    • Kent, J. T., Mardia, K. V., & Rao, J. S. (1979). A characterization of the uniform distribution on the circle. Ann. Statist., 7, 882 889. (66, 184).
    • (1979) Ann. Statist. , vol.7 , pp. 882-889
    • Kent, J.T.1    Mardia, K.V.2    Rao, J.S.3
  • 243
    • 0001247961 scopus 로고
    • Maximum likelihood estimation for the wrapped Cauchy distribution
    • 52, 90.
    • Kent, J. T. & Tyler, D. E. (1988). Maximum likelihood estimation for the wrapped Cauchy distribution. J. Appl. Statist. 15, 247-254. (52, 90).
    • (1988) J. Appl. Statist. , vol.15 , pp. 247-254
    • Kent, J.T.1    Tyler, D.E.2
  • 244
    • 0002959565 scopus 로고
    • The von Mises Fisher matrix distribution in orientation statistics
    • 290, 291, 292.
    • Khatri, G. G. & Mardia, K. V. (1977). The von Mises Fisher matrix distribution in orientation statistics. J. Roy. Statist. Soc. Ser. B, 39, 95-106. (290, 291, 292).
    • (1977) J. Roy. Statist. Soc. Ser. B , vol.39 , pp. 95-106
    • Khatri, G.G.1    Mardia, K.V.2
  • 245
    • 0347941851 scopus 로고
    • Decision theoretic analysis of spherical regression
    • 279.
    • Kim, P. T. (1991). Decision theoretic analysis of spherical regression. J. Multivariate Anal., 38, 233-240. (279).
    • (1991) J. Multivariate Anal. , vol.38 , pp. 233-240
    • Kim, P.T.1
  • 246
    • 0032360315 scopus 로고    scopus 로고
    • Deconvolution density estimation on SO(N)
    • 279.
    • Kim, P. T. (1998). Deconvolution density estimation on SO(N). Ann. Statist, 26, 1083-1102. (279).
    • (1998) Ann. Statist , vol.26 , pp. 1083-1102
    • Kim, P.T.1
  • 247
    • 84981704705 scopus 로고
    • A note on the detection and accommodation of outliers relative to Fisher's distribution on the sphere
    • 268, 276.
    • Kimber, A. C. (1985). A note on the detection and accommodation of outliers relative to Fisher's distribution on the sphere. Appl. Statist., 34, 169-172. (268, 276).
    • (1985) Appl. Statist. , vol.34 , pp. 169-172
    • Kimber, A.C.1
  • 248
    • 84914883857 scopus 로고
    • Null distribution of the Hodges bivariate sign test
    • 106.
    • Klotz, J. (1959). Null distribution of the Hodges bivariate sign test. Ann. Math. Statist, 30, 1029 1033. (106).
    • (1959) Ann. Math. Statist , vol.30 , pp. 1029 1033
    • Klotz, J.1
  • 249
    • 0242625561 scopus 로고
    • A local probability theorem
    • 68.
    • Kluyver, J. C. (1906). A local probability theorem. Ned. Akad. Wet. Proc. Ser. A, 8, 341-350. (68).
    • (1906) Ned. Akad. Wet. Proc. Ser. A , vol.8 , pp. 341-350
    • Kluyver, J.C.1
  • 250
    • 34547300339 scopus 로고
    • Robust estimation of the concentration parameter of the von Mises Fisher distribution
    • 276.
    • Ko, D. (1992). Robust estimation of the concentration parameter of the von Mises Fisher distribution. Ann. Statist, 20, 917-928. (276).
    • (1992) Ann. Statist , vol.20 , pp. 917-928
    • Ko, D.1
  • 251
    • 38249002971 scopus 로고
    • Robust M-estimators on spheres
    • 274, 276.
    • Ko, D. & Chang, T. (1993). Robust M-estimators on spheres. J. Multivariate Anal., 45, 104-136. (274, 276).
    • (1993) J. Multivariate Anal. , vol.45 , pp. 104-136
    • Ko, D.1    Chang, T.2
  • 252
    • 0002502820 scopus 로고
    • Robustness of estimators for directional data
    • 274, 275.
    • Ko, D. & Guttorp, P. (1988). Robustness of estimators for directional data. Ann. Statist, 16, 609-618. (274, 275).
    • (1988) Ann. Statist , vol.16 , pp. 609-618
    • Ko, D.1    Guttorp, P.2
  • 253
    • 34347098764 scopus 로고
    • Beziehungen zwischen elastischen Koustanteu and Dehnungs doppelbrechung hochelastischcr Stoffe
    • 9, 170.
    • Kuhu, W. & Grün, F. (1942). Beziehungen zwischen elastischen Koustanteu and Dehnungs doppelbrechung hochelastischcr Stoffe. Kolloid. Z., 101, 248-271. (9, 170).
    • (1942) Kolloid. Z. , vol.101 , pp. 248-271
    • Kuhu, W.1    Grün, F.2
  • 254
    • 0002488052 scopus 로고
    • Tests concerning random points on a circle
    • 100, 102, 150.
    • Kuiper, N. H. (1960). Tests concerning random points on a circle. Ned. Akad. Wet. Proc. Ser. A, 63, 38-47. (100, 102, 150).
    • (1960) Ned. Akad. Wet. Proc. Ser. A , vol.63 , pp. 38-47
    • Kuiper, N.H.1
  • 255
    • 0002886944 scopus 로고
    • Magńisnie et théorie des electrons
    • 170.
    • Langevin, P. (1905). Magnéisnie et théorie des electrons. Ann. Chim. Phys., 5, 71-127. (170).
    • (1905) Ann. Chim. Phys. , vol.5 , pp. 71-127
    • Langevin, P.1
  • 256
    • 84981704697 scopus 로고
    • A distribution arising from random points on the circumference of a circle
    • Technical Report 268, CSIR, Pretoria. (107, 367).
    • Laubscher, N. F. & Rudolph, G. J. (1968). A distribution arising from random points on the circumference of a circle. Technical Report 268, CSIR, Pretoria. (107, 367).
    • (1968)
    • Laubscher, N.F.1    Rudolph, G.J.2
  • 257
    • 0016689440 scopus 로고
    • Optimal design: regression models for directions
    • 257, 282.
    • Laycock, P. J. (1975). Optimal design: regression models for directions. Biometrika, 62, 305-311. (257, 282).
    • (1975) Biometrika , vol.62 , pp. 305-311
    • Laycock, P.J.1
  • 258
    • 0040548981 scopus 로고
    • Correspondence), (9, 97).
    • Lee, J. H. A. (1963). (Correspondence). British Med. J., 10, 623. (9, 97).
    • (1963) British Med. J. , vol.10 , pp. 623
    • Lee, J.H.A.1
  • 259
    • 3042945222 scopus 로고    scopus 로고
    • Xonparametric curve estimation on Stiefel manifolds
    • 278.
    • Lee, J. M. & Ruymgaart, F. H. (1996). Xonparametric curve estimation on Stiefel manifolds. J. Nonparametr. Statist, 6, 57-68. (278).
    • (1996) J. Nonparametr. Statist , vol.6 , pp. 57-68
    • Lee, J.M.1    Ruymgaart, F.H.2
  • 260
    • 0004143760 scopus 로고
    • Testing Statistical Hypotheses
    • Wiley, New York. (96.
    • Lehmann, E. L. (1959). Testing Statistical Hypotheses. Wiley, New York. (96).
    • (1959)
    • Lehmann, E.L.1
  • 261
    • 0019532652 scopus 로고
    • Robust measures of location for directional data
    • 275.
    • Lenth, R. V. (1981). Robust measures of location for directional data. Technometrics, 23, 77-81. (275).
    • (1981) Technometrics , vol.23 , pp. 77-81
    • Lenth, R.V.1
  • 262
    • 0019566022 scopus 로고
    • On finding the source of a signal
    • 261.
    • Lenth, R. V. (1981). On finding the source of a signal. Technometrics, 23,149-154. (261).
    • (1981) Technometrics , vol.23 , pp. 149-154
    • Lenth, R.V.1
  • 263
    • 0002271133 scopus 로고
    • L'addition des variables ateatoires definies sur une circonference
    • 49, 52.
    • Lévy, P. (1939). L'addition des variables ateatoires definies sur une circonference. Bull. Soc. Math. France, 67, 1-41. (49, 52).
    • (1939) Bull. Soc. Math. France , vol.67 , pp. 1-41
    • Lévy, P.1
  • 264
    • 0019923405 scopus 로고
    • Graphical methods for investigating the fit of a Fisher distribution to spherical data
    • 195.
    • Lewis, T. & Fisher, N. I. (1982). Graphical methods for investigating the fit of a Fisher distribution to spherical data. Geophys. J. R. Astr. Soc., 69, 1-13. (195).
    • (1982) Geophys. J. R. Astr. Soc. , vol.69 , pp. 1-13
    • Lewis, T.1    Fisher, N.I.2
  • 265
    • 84990532167 scopus 로고
    • Estimating the angle between the mean directions of two spherical distributions
    • 220.
    • Lewis, T. & Fisher, N. I. (1995). Estimating the angle between the mean directions of two spherical distributions. Austral. J. Statist, 37, 179491. (220).
    • (1995) Austral. J. Statist , vol.37
    • Lewis, T.1    Fisher, N.I.2
  • 266
    • 0017846361 scopus 로고
    • Linear-circular correlation coefficients: some further results
    • 246.
    • Liddcll, I. G. & Ord, J. K. (1978). Linear-circular correlation coefficients: some further results. Biometrika, 65, 448-450. (246).
    • (1978) Biometrika , vol.65 , pp. 448-450
    • Liddcll, I.G.1    Ord, J.K.2
  • 267
    • 0009964487 scopus 로고
    • Bayes procedures for rotationally symmetric models on the sphere
    • 279.
    • Lo, A. & Cabrera, J. (1987). Bayes procedures for rotationally symmetric models on the sphere. Ann. Statist, 15, 1257-1268. (279).
    • (1987) Ann. Statist , vol.15 , pp. 1257-1268
    • Lo, A.1    Cabrera, J.2
  • 268
    • 0002628024 scopus 로고
    • Tests of fit for the vou Mises distribution
    • 116, 369.
    • Lockhart, R. A. & Stephens, M. A. (1985). Tests of fit for the vou Mises distribution. Biometrika, 72, 647-652. (116, 369).
    • (1985) Biometrika , vol.72 , pp. 647-652
    • Lockhart, R.A.1    Stephens, M.A.2
  • 269
    • 84934272034 scopus 로고
    • A problem on random vectors
    • 71.
    • Lord, Ft. D. (1948). A problem on random vectors. Phil. Mag. (7), 39, 66-71. (71).
    • (1948) Phil. Mag. 7 , vol.39 , pp. 66-71
    • Lord, R.D.1
  • 270
    • 0002834599 scopus 로고
    • The use of the Hankel transform in statistics
    • 60.
    • Lord, R. D. (1954). The use of the Hankel transform in statistics. I, General theory and examples. Biometrika, 41, 44- 55. (60).
    • (1954) I, General theory and examples. Biometrika , vol.41 , pp. 44-55
    • Lord, R.D.1
  • 271
    • 0004203203 scopus 로고
    • Characteristic Functions
    • 2nd cd. Griffin, London. (52, 57, 61).
    • Lukacs, E. (1970). Characteristic Functions, 2nd cd. Griffin, London. (52, 57, 61).
    • (1970)
    • Lukacs, E.1
  • 272
    • 0344454822 scopus 로고
    • 2 statistic
    • 158.
    • 2 statistic. Biometrika, 53, 579-583. (158).
    • (1966) Biometrika , vol.53 , pp. 579-583
    • Maag, U.R.1
  • 273
    • 47949095232 scopus 로고
    • On Kolmogorov-Smirnov type one-sample statistics
    • 102.
    • Maag, U. R. & Dicaire, G. (1971). On Kolmogorov-Smirnov type one-sample statistics. Biometrika, 58, 653-656. (102).
    • (1971) Biometrika , vol.58 , pp. 653-656
    • Maag, U.R.1    Dicaire, G.2
  • 274
    • 0002730539 scopus 로고
    • The estimation of an orientation relationship
    • 255, 256, 259.
    • Mackenzie, J. K. (1957). The estimation of an orientation relationship. Acta. Crystallag., 10, 61-62. (255, 256, 259).
    • (1957) Acta. Crystallag. , vol.10 , pp. 61-62
    • Mackenzie, J.K.1
  • 275
    • 85040898707 scopus 로고
    • Coordinate Systems and Map Projections
    • 2nd ed. Pergamon Press, Oxford. (161).
    • Maling, D. H. (1992). Coordinate Systems and Map Projections, 2nd ed. Pergamon Press, Oxford. (161).
    • (1992)
    • Maling, D.H.1
  • 276
    • 0001209811 scopus 로고
    • A non-parametric test for the bivariate two-sample location problem
    • 148, 376.
    • Mardia, K. V. (1967). A non-parametric test for the bivariate two-sample location problem. J. Roy. Statist. Soc. Ser. B, 29, 320-342. (148, 376).
    • (1967) J. Roy. Statist. Soc. Ser. B , vol.29 , pp. 320-342
    • Mardia, K.V.1
  • 277
    • 0041960169 scopus 로고
    • Small sample power of a non-parametric test for the bivariate two-sample location problem in the normal case
    • 148.
    • Mardia, K. V. (1968). Small sample power of a non-parametric test for the bivariate two-sample location problem in the normal case. J. Roy. Statist. Soc. Ser. B, 30, 83-92. (148).
    • (1968) J. Roy. Statist. Soc. Ser. B , vol.30 , pp. 83-92
    • Mardia, K.V.1
  • 278
    • 84912176061 scopus 로고
    • On the null distribution of a non-parametric test for the bivariate two-sample problem
    • 148, 376.
    • Mardia, K. V. (1969). On the null distribution of a non-parametric test for the bivariate two-sample problem. J. Roy. Statist. Soc. Ser. B, 31, 98-102. (148, 376).
    • (1969) J. Roy. Statist. Soc. Ser. B , vol.31 , pp. 98-102
    • Mardia, K.V.1
  • 279
    • 70350338037 scopus 로고
    • On Wheeler and Watson's two-sample test on a circle
    • 148, 149, 155.
    • Mardia, K. V. (1969). On Wheeler and Watson's two-sample test on a circle. Sanhkyā, Ser. A 31, 177-190. (148, 149, 155).
    • (1969) Sanhkyā, Ser. A , vol.31 , pp. 177-190
    • Mardia, K.V.1
  • 280
    • 70449345570 scopus 로고
    • A bivariate non-parametric c-sample test
    • 157, 379.
    • Mardia, K. V. (1970). A bivariate non-parametric c-sample test. J. Roy. Statist. Soc. Ser. B, 32, 74-87. (157, 379).
    • (1970) J. Roy. Statist. Soc. Ser. B , vol.32 , pp. 74-87
    • Mardia, K.V.1
  • 281
    • 0004229108 scopus 로고
    • Statistics of Directional Data
    • Academic Press, London. (xviii, 43, 44, 68, 70, 71, 81, 82, 84, 96, 121, 131, 137, 153, 211).
    • Mardia, K. V. (1972). Statistics of Directional Data. Academic Press, London. (xviii, 43, 44, 68, 70, 71, 81, 82, 84, 96, 121, 131, 137, 153, 211).
    • (1972)
    • Mardia, K.V.1
  • 282
    • 0345380221 scopus 로고
    • A inultisainple uniform scores test on a circle and its parametric competitor
    • 157.
    • Mardia, K. V. (1972). A inultisainple uniform scores test on a circle and its parametric competitor. J. Ray. Statist. Soc. Set: B, 34, 102-113. (157).
    • (1972) J. Ray. Statist. Soc. Set: B , vol.34 , pp. 102-113
    • Mardia, K.V.1
  • 283
    • 0001423948 scopus 로고
    • Statistics of directional data (with discussion)
    • 55, 174, 251, 256, 262, 268, 283, 380.
    • Mardia, K. V. (1975). Statistics of directional data (with discussion). J. Roy. Statist. Soc. Ser. B, 37, 349-393. (55, 174, 251, 256, 262, 268, 283, 380).
    • (1975) J. Roy. Statist. Soc. Ser. B , vol.37 , pp. 349-393
    • Mardia, K.V.1
  • 284
    • 33746445569 scopus 로고
    • Distribution theory for the von Mises-Fisher distribution and its application
    • G. P. Patil, S. Kotz & J. K. Ord (eds), Reidel, Dordrecht. (185).
    • Mardia, K. V. (1975). Distribution theory for the von Mises-Fisher distribution and its application. In G. P. Patil, S. Kotz & J. K. Ord (eds), Statistical Distributions in Scientific Work, 1, pp. 113-130. Reidel, Dordrecht. (185).
    • (1975) Statistical Distributions in Scientific Work , vol.1 , pp. 113-130
    • Mardia, K.V.1
  • 285
    • 0346348331 scopus 로고
    • Characterizations of directional distributions
    • G. P. Patil, S. Kotz & J. K. Ord (eds), Reidel, Dordrecht. (55, 171, 262).
    • Mardia, K. V. (1975). Characterizations of directional distributions. In G. P. Patil, S. Kotz & J. K. Ord (eds), Statistical Distributions in Scientific Work, 3, pp. 365 385. Reidel, Dordrecht. (55, 171, 262).
    • (1975) Statistical Distributions in Scientific Work , vol.3 , pp. 365 385
    • Mardia, K.V.1
  • 286
    • 0017115780 scopus 로고
    • Linear-circular correlation coefficients and rhythmometry
    • 246, 247, 256, 257, 380).
    • Mardia, K. V. (1976). Linear-circular correlation coefficients and rhythmometry. Biometrika, 63, 403-405. (246, 247, 256, 257, 380).
    • (1976) Biometrika , vol.63 , pp. 403-405
    • Mardia, K.V.1
  • 287
    • 0009306540 scopus 로고
    • Shape analysis of triangles through directional techniques
    • 321, 322, 325.
    • Mardia, K. V. (1989). Shape analysis of triangles through directional techniques. J. Roy. Statist. Soc. Ser. B, 51, 449-458. (321, 322, 325).
    • (1989) J. Roy. Statist. Soc. Ser. B , vol.51 , pp. 449-458
    • Mardia, K.V.1
  • 289
    • 0011073923 scopus 로고    scopus 로고
    • Directional statistics and shape analysis
    • 317.
    • Mardia, K. V. (1999). Directional statistics and shape analysis. J. Appl. Statist, 26, 949-957. (317).
    • (1999) J. Appl. Statist. , vol.26 , pp. 949-957
    • Mardia, K.V.1
  • 290
    • 0001521813 scopus 로고
    • Statistical analysis of shape data
    • 324, 325.
    • Mardia, K. V. & Dryden, I. L. (1989). Statistical analysis of shape data. Biometrika, 76, 271 281. (324, 325).
    • (1989) Biometrika , vol.76 , pp. 271 281
    • Mardia, K.V.1    Dryden, I.L.2
  • 291
    • 0001596165 scopus 로고
    • Shape distributions for landmark data
    • 317, 324, 325.
    • Mardia, K. V. & Dryden, I. L. (1989). Shape distributions for landmark data. Adv. Appl. Probab", 21, 742-755. (317, 324, 325).
    • (1989) Adv. Appl. Probab" , vol.21 , pp. 742-755
    • Mardia, K.V.1    Dryden, I.L.2
  • 292
    • 0033478710 scopus 로고    scopus 로고
    • The complex Watson distribution and shape analysis
    • 334, 341, 342.
    • Mardia, K.V. & Drydeu I. L. (1999). The complex Watson distribution and shape analysis. J. Roy. Statist. Soc. Ser. B, 61, 913-926. (334, 341, 342).
    • (1999) J. Roy. Statist. Soc. Ser. B , vol.61 , pp. 913-926
    • Mardia, K.V.1    Drydeu, I.L.2
  • 293
    • 0042460678 scopus 로고
    • Weighted distributions and rotating caps
    • 180.
    • Mardia, K. V. & Edwards, R. (1982). Weighted distributions and rotating caps. Biometrika, 69, 323-330. (180).
    • (1982) Biometrika , vol.69 , pp. 323-330
    • Mardia, K.V.1    Edwards, R.2
  • 294
    • 0002286393 scopus 로고
    • Analysis of central place theory (with discussion)
    • 307, 320, 321.
    • Mardia, K. V., Edwards, R. & Puri, M. L. (1977). Analysis of central place theory (with discussion). Bull. Internal. Statist. Inst., 47, 93-110. 139-146. (307, 320, 321).
    • (1977) Bull. Internal. Statist. Inst. , vol.47
    • Mardia, K.V.1    Edwards, R.2    Puri, M.L.3
  • 295
    • 85041988036 scopus 로고
    • Bayesian inference for the von Mises- Fisher distribution
    • 279.
    • Mardia, K. V. & El-Atouui, S.A. M. (1976). Bayesian inference for the von Mises- Fisher distribution. Biometrika, 63, 203-205. (279).
    • (1976) Biometrika , vol.63 , pp. 203-205
    • Mardia, K.V.1    El-Atouui, S.A.M.2
  • 296
    • 0041458783 scopus 로고
    • A circle of best fit for spherical data and areas of vulcanism
    • 177.
    • Mardia, K. V. & Gadsden, R. J. (1977). A circle of best fit for spherical data and areas of vulcanism. Appl. Statist, 26, 238-245. (177).
    • (1977) Appl. Statist , vol.26 , pp. 238-245
    • Mardia, K.V.1    Gadsden, R.J.2
  • 297
    • 0041458786 scopus 로고    scopus 로고
    • Distributions of projective invariants and model-based machine vision
    • 10.
    • Mardia, K. V., Goodall, C. R. & Walder, A. (1996). Distributions of projective invariants and model-based machine vision. Adv. Appl. Probab., 28, 641-661. (10).
    • (1996) Adv. Appl. Probab. , vol.28 , pp. 641-661
    • Mardia, K.V.1    Goodall, C.R.2    Walder, A.3
  • 298
    • 33644889950 scopus 로고
    • A goodness-of-fit test for the von Mises Fisher distribution
    • 272.
    • Mardia, K. V., Holmes, D. & Kent, J. T. (1984). A goodness-of-fit test for the von Mises Fisher distribution. J. Roy. Statist. Soc. Ser. B, 46, 72-78. (272).
    • (1984) J. Roy. Statist. Soc. Ser. B , vol.46 , pp. 72-78
    • Mardia, K.V.1    Holmes, D.2    Kent, J.T.3
  • 299
    • 0003607151 scopus 로고
    • Multivariate Analysis
    • Academic Press, London. (184, 245, 249, 310, 344).
    • Mardia, K. V., Kent, J. T. & Bibby, J. M. (1979). Multivariate Analysis. Academic Press, London. (184, 245, 249, 310, 344).
    • (1979)
    • Mardia, K.V.1    Kent, J.T.2    Bibby, J.M.3
  • 300
    • 0038492192 scopus 로고
    • Uniform distribution on a Stiefel manifold
    • 294.
    • Mardia, K. V. & Khatri, C. G. (1977). Uniform distribution on a Stiefel manifold. J. Multivariate. Anal., 7, 468-473. (294).
    • (1977) J. Multivariate. Anal. , vol.7 , pp. 468-473
    • Mardia, K.V.1    Khatri, C.G.2
  • 301
    • 0017846360 scopus 로고
    • A robust spherical correlation coefficient against scale
    • 256.
    • Mardia, K. V. & Puri, M. L. (1978). A robust spherical correlation coefficient against scale. Biometrika, 65, 391-396. (256).
    • (1978) Biometrika , vol.65 , pp. 391-396
    • Mardia, K.V.1    Puri, M.L.2
  • 303
    • 0016772202 scopus 로고
    • On the modes of a mixture of two von Mises distributions
    • 91.
    • Mardia, K. V. & Sutton, T. W. (1975). On the modes of a mixture of two von Mises distributions. Biometrika, 62, 699-701. (91).
    • (1975) Biometrika , vol.62 , pp. 699-701
    • Mardia, K.V.1    Sutton, T.W.2
  • 304
    • 0000808950 scopus 로고
    • A model for cylindrical variables with applications
    • 55, 257, 262.
    • Mardia, K. V. & Sutton, T. W. (1978). A model for cylindrical variables with applications. J. Roy. Statist. Soc. Ser. B, 40, 229 233. (55, 257, 262).
    • (1978) J. Roy. Statist. Soc. Ser. B , vol.40 , pp. 229 233
    • Mardia, K.V.1    Sutton, T.W.2
  • 305
    • 84981744090 scopus 로고
    • On Randall's Spherical Blackboard
    • Technical report, Dept. of Statist., University of Leeds. (319).
    • Mardia, K. V. & Walder, A. N. (1988). On Randall's Spherical Blackboard. Technical report, Dept. of Statist., University of Leeds. (319).
    • (1988)
    • Mardia, K.V.1    Walder, A.N.2
  • 306
    • 3342907866 scopus 로고
    • Algorithm AS 81: Circular statisics
    • 86.
    • Mardia, K. V. & Zemroch, P. J. (1975). Algorithm AS 81: Circular statisics. Appl. Statist., 24, 147-150. (86).
    • (1975) Appl. Statist. , vol.24 , pp. 147-150
    • Mardia, K.V.1    Zemroch, P.J.2
  • 307
    • 0042126466 scopus 로고
    • Algorithm AS 86: The von Mises distribution function
    • 41.
    • Mardia, K. V. & Zemroch, P. J. (1975). Algorithm AS 86: The von Mises distribution function. Appl. Statist., 24, 268-272. (41).
    • (1975) Appl. Statist. , vol.24 , pp. 268-272
    • Mardia, K.V.1    Zemroch, P.J.2
  • 308
    • 0013319582 scopus 로고
    • Table of maximum likelihood estimates for the Bingham distribution
    • 204.
    • Mardia, K. V. & Zemroch, P. J. (1977). Table of maximum likelihood estimates for the Bingham distribution. J. Statist. Comput. Simulation, 6, 29-34. (204).
    • (1977) J. Statist. Comput. Simulation , vol.6 , pp. 29-34
    • Mardia, K.V.1    Zemroch, P.J.2
  • 309
    • 0001873620 scopus 로고    scopus 로고
    • Kriging and splines with derivative information
    • 281.
    • Mardia, K. V., Kent, J. T., Goodall C. R. & Little, J. A. (1996). Kriging and splines with derivative information. Biometrika, 83, 207-221. (281).
    • (1996) Biometrika , vol.83 , pp. 207-221
    • Mardia, K.V.1    Kent, J.T.2    Goodall, C.R.3    Little, J.A.4
  • 310
    • 0031276923 scopus 로고    scopus 로고
    • Statistical methods for automatic interpretation of digitally scanned finger prints
    • 10.
    • Mardia, K. V. Baczkowski, A., Feng, X. & Hainsworth, T. J. (1997). Statistical methods for automatic interpretation of digitally scanned finger prints. Pattern Recognition Lett., 18, 1197-1203. (10).
    • (1997) Pattern Recognition Lett. , vol.18 , pp. 1197-1203
    • Mardia, K.V.1    Baczkowski, A.2    Feng, X.3    Hainsworth, T.J.4
  • 311
    • 84981704403 scopus 로고
    • Wahrscheinlichkeitsrechnung. Tanbner, Leipzig. (68).
    • Markov, A. A. (1912). Wahrscheinlic.hkeitsrechnu.ng. Tanbner, Leipzig. (68).
    • (1912)
    • Markov, A.A.1
  • 312
    • 84972114369 scopus 로고
    • Game theoretic proof that Chebyshev inequalities are sharp
    • 31.
    • Marshall, A. W. & Olkin, I. (1961). Game theoretic proof that Chebyshev inequalities are sharp. Pacific J. Math., 11. 1421-1429. (31).
    • (1961) Pacific J. Math. , vol.11 , pp. 1421-1429
    • Marshall, A.W.1    Olkin, I.2
  • 313
    • 0001220882 scopus 로고
    • "Nonsense" orientation in mallard anas platyrhynchos and its relation to experiments on bird navigation
    • 3.
    • Matthews, G. V. T. (1961). "Nonsense" orientation in mallard anas platyrhynchos and its relation to experiments on bird navigation. Ibis, 103a, 211-230. (3).
    • (1961) Ibis , Issue.103 , pp. 211-230
    • Matthews, G.V.T.1
  • 314
    • 0030493543 scopus 로고    scopus 로고
    • Möbius transformation and Cauchy parameter estimation
    • 52.
    • McCullagh, P. (1996). Möbius transformation and Cauchy parameter estimation. Ann. Statist., 24, 787-808. (52).
    • (1996) Ann. Statist. , vol.24 , pp. 787-808
    • McCullagh, P.1
  • 315
    • 26844447192 scopus 로고
    • Smoothing unit vector fields
    • 281.
    • Mendoza, C. E. (1986). Smoothing unit vector fields. J. Math. Geol., 18, 307-322. (281).
    • (1986) J. Math. Geol. , vol.18 , pp. 307-322
    • Mendoza, C.E.1
  • 316
    • 2042471751 scopus 로고
    • Quaternions, Haar measure and the estimation of a palaeomagnctic rotation
    • J. Gani (ed.), Applied Probability Trust, Sheffield. (286).
    • Moran, P. A. P. (1975). Quaternions, Haar measure and the estimation of a palaeomagnctic rotation. In J. Gani (ed.), Perspectives in Probability and Statistics, pp. 295-301. Applied Probability Trust, Sheffield. (286).
    • (1975) Perspectives in Probability and Statistics , pp. 295-301
    • Moran, P.A.P.1
  • 317
    • 85041975579 scopus 로고
    • Discriminant analysis of directional data
    • 282.
    • Morris, J. E. & Laycock, P. J. (1974). Discriminant analysis of directional data. Biometrika, 61, 335-341. (282).
    • (1974) Biometrika , vol.61 , pp. 335-341
    • Morris, J.E.1    Laycock, P.J.2
  • 318
    • 0003558943 scopus 로고
    • Aspects of Multivariate Statistical Theory
    • Wiley, New York. (352).
    • Muirhcad, R. J. (1982). Aspects of Multivariate Statistical Theory. Wiley, New York. (352).
    • (1982)
    • Muirhcad, R.J.1
  • 319
    • 0003038640 scopus 로고
    • Note on the frequency of use of the different digits in natural numbers
    • 64.
    • Newcoinb, S. (1881). Note on the frequency of use of the different digits in natural numbers. Amer. J. Math., 4, 39-40. (64).
    • (1881) Amer. J. Math. , vol.4 , pp. 39-40
    • Newcoinb, S.1
  • 320
    • 0003760944 scopus 로고
    • Spatial Tessellations: Concepts and Applications of Voronoi Diagrams
    • Wiley, Chichester. (320).
    • Okabe, A., Boots, B. & Sugihara, K. (1992). Spatial Tessellations: Concepts and Applications of Voronoi Diagrams. Wiley, Chichester. (320).
    • (1992)
    • Okabe, A.1    Boots, B.2    Sugihara, K.3
  • 321
    • 84981704147 scopus 로고
    • On an intrinsic analysis of statistical estimation
    • C. M. Cuadras & C. R. Rao (eds), North-Holland, Amsterdam. (300).
    • Oiler, J. (1993). On an intrinsic analysis of statistical estimation. In C. M. Cuadras & C. R. Rao (eds). Multivariate Analysis: Future Directions 2, pp. 421-437. North-Holland, Amsterdam. (300).
    • (1993) Multivariate Analysis: Future Directions , vol.2 , pp. 421-437
    • Oiler, J.1
  • 322
    • 21344435876 scopus 로고
    • Intrinsic analysis of statistical estimation
    • 300.
    • Oiler, J. M. & Corcuera, J. M. (1995). Intrinsic analysis of statistical estimation. Ann. Statist, 23, 1562-1581. (300).
    • (1995) Ann. Statist , vol.23 , pp. 1562-1581
    • Oiler, J.M.1    Corcuera, J.M.2
  • 324
    • 33746806001 scopus 로고
    • The problem of the random walk
    • 65, 68.
    • Pearson, K. (1905). The problem of the random walk. Nature, 72, 294-342. (65, 68).
    • (1905) Nature , vol.72 , pp. 294-342
    • Pearson, K.1
  • 326
    • 0008347916 scopus 로고
    • Etude mathematique du mouvement brownien de rotation
    • 174.
    • Perrin, F. (1928). Etude mathematique du mouvement brownien de rotation. Ann. Set. Ec. Norm. Sup. Paris, 45, 1-51. (174).
    • (1928) Ann. Set. Ec. Norm. Sup. Paris , vol.45 , pp. 1-51
    • Perrin, F.1
  • 328
    • 67349132086 scopus 로고
    • The analysis of aggregates of orientation data in the earth science
    • 7.
    • Phicus, H. J. (1953). The analysis of aggregates of orientation data in the earth sciences. J. Geol, 61, 482 509. (7).
    • (1953) J. Geol , vol.61 , pp. 482-509
    • Phicus, H.J.1
  • 329
    • 84931883233 scopus 로고
    • Chance
    • 63.
    • Poincaré H. (1912). Chance. Monist, 22, 31-52. (63).
    • (1912) Monist , vol.22 , pp. 31-52
    • Poincaré, H.1
  • 330
    • 84858943681 scopus 로고
    • Zur Statistik der spharischen Verteilung der Fixsterne
    • 11.
    • Polya, G. (1919). Zur Statistik der spharischen Verteilung der Fixsterne. Ast. Nachr., 208, 175-180. (11).
    • (1919) Ast. Nachr. , vol.208 , pp. 175-180
    • Polya, G.1
  • 331
    • 0012991211 scopus 로고
    • On invariant tests of uniformity for directions and orientations
    • Prentice, M. J. (1978). On invariant tests of uniformity for directions and orientations. Ann. Statist., 6. 169-176.
    • (1978) Ann. Statist. , vol.6 , pp. 169-176
    • Prentice, M.J.1
  • 332
    • 84873717411 scopus 로고
    • On invariant tests of uniformity for directions and orientations
    • 209, 233, 234.
    • Prentice, M. J. (1979), On invariant tests of uniformity for directions and orientations. Ann. Statist., 7, 926. (209, 233, 234).
    • (1979) Ann. Statist. , vol.7 , pp. 926
    • Prentice, M.J.1
  • 333
    • 49049141378 scopus 로고
    • Antipodally symmetric distributions for orientation statistics
    • 292.
    • Prentice, M. J. (1982). Antipodally symmetric distributions for orientation statistics. J. Statist. Plann. Inference, 6, 205-214. (292).
    • (1982) J. Statist. Plann. Inference , vol.6 , pp. 205-214
    • Prentice, M.J.1
  • 334
    • 0007188294 scopus 로고
    • A distribution-free method of interval estimation for unsigned directional data
    • 235.
    • Prentice, M. J. (1984). A distribution-free method of interval estimation for unsigned directional data. Biometrika, 71, 147-154. (235).
    • (1984) Biometrika , vol.71 , pp. 147-154
    • Prentice, M.J.1
  • 335
    • 0001206139 scopus 로고
    • Orientation statistics without parametric assumptions
    • 286, 289.
    • Prentice, M. J. (1986). Orientation statistics without parametric assumptions. J. Roy. Statist. Soc. Ser. B, 48, 214-222. (286, 289).
    • (1986) J. Roy. Statist. Soc. Ser. B , vol.48 , pp. 214-222
    • Prentice, M.J.1
  • 336
    • 0000955651 scopus 로고
    • Fitting smooth paths to rotation data
    • 281, 286.
    • Prentice, M. J. (1987). Fitting smooth paths to rotation data. Appl. Statist., 36, 325-331. (281, 286).
    • (1987) Appl. Statist. , vol.36 , pp. 325-331
    • Prentice, M.J.1
  • 337
    • 0001263095 scopus 로고
    • Spherical regression on matched pairs of orientation statistics
    • 260.
    • Prentice, M. J. (1989). Spherical regression on matched pairs of orientation statistics. J. Ray. Statist. Soc. Ser. B, 51, 241-248. (260).
    • (1989) J. Ray. Statist. Soc. Ser. B , vol.51 , pp. 241-248
    • Prentice, M.J.1
  • 338
    • 0012229871 scopus 로고
    • Pattern recognition based on scale invariant discriminant functions
    • 178, 307.
    • Pukkila, T. M. & Rao, C. R. (1988). Pattern recognition based on scale invariant discriminant functions. Inform. Sci., 45, 379-389. (178, 307).
    • (1988) Inform. Sci. , vol.45 , pp. 379-389
    • Pukkila, T.M.1    Rao, C.R.2
  • 339
    • 48449101825 scopus 로고
    • A rotationally symmetric directional distribution obtained through maximum likelihood characterization
    • 180.
    • Purkayastha, S. (1991). A rotationally symmetric directional distribution obtained through maximum likelihood characterization. Sankhya Ser. A, 53, 70-83. (180).
    • (1991) Sankhya Ser. A , vol.53 , pp. 70-83
    • Purkayastha, S.1
  • 340
    • 84981714327 scopus 로고
    • Maximum likelihood characterization of the von Mises-Fisher matrix distribution
    • 291.
    • Purkayastha, S. & Mukerjee, R. (1992). Maximum likelihood characterization of the von Mises-Fisher matrix distribution. Sankhya Ser. A, 54, 123-127. (291).
    • (1992) Sankhya Ser. A , vol.54 , pp. 123-127
    • Purkayastha, S.1    Mukerjee, R.2
  • 341
    • 0003436776 scopus 로고
    • Linear Statistical Inference and its Applications
    • 2nd. ed. Wilev, New York. (76, 171).
    • Rao, C. R. (1973). Linear Statistical Inference and its Applications, 2nd. ed. Wilev, New York. (76, 171).
    • (1973)
    • Rao, C.R.1
  • 342
    • 0009607147 scopus 로고
    • Some Contributions to the Analysis of Circular Data
    • Ph.D. thesis, Indian Statist. Inst., Calcutta. (75, 107, 108, 115, 153, 368).
    • Rao, J. S. (1969). Some Contributions to the Analysis of Circular Data. Ph.D. thesis, Indian Statist. Inst., Calcutta. (75, 107, 108, 115, 153, 368).
    • (1969)
    • Rao, J.S.1
  • 343
    • 56549100819 scopus 로고
    • Bahadur efficiencies of some tests for uniformity on the circle
    • 108.
    • Rao, J. S. (1972). Bahadur efficiencies of some tests for uniformity on the circle. Ann. Math. Statist., 43, 468-479. (108).
    • (1972) Ann. Math. Statist. , vol.43 , pp. 468-479
    • Rao, J.S.1
  • 344
    • 25044462541 scopus 로고
    • Some variants of chi-square for testing uniformity on the circle
    • 109, 112.
    • Rao, J. S. (1972). Some variants of chi-square for testing uniformity on the circle. Z. Wahrsch. vem. Gcb., 22, 33-44. (109, 112).
    • (1972) Z. Wahrsch. vem. Gcb. , vol.22 , pp. 33-44
    • Rao, J.S.1
  • 345
    • 0010071699 scopus 로고
    • Some tests based on arc length for the circle
    • 108, 153.
    • Rao J. S. (1976). Some tests based on arc length for the circle. Sankhya Ser. B, 38, 329-338. (108, 153).
    • (1976) Sankhya Ser. B , vol.38 , pp. 329-338
    • Rao, J.S.1
  • 346
    • 0038270137 scopus 로고
    • An optimum hierarchical sampling procedure for cross-bedding data
    • 136.
    • Rao, J. S. & Sengupta, S. (1970). An optimum hierarchical sampling procedure for cross-bedding data. J. Geol., 78, 533-534. (136).
    • (1970) J. Geol. , vol.78 , pp. 533-534
    • Rao, J.S.1    Sengupta, S.2
  • 347
    • 0002676166 scopus 로고
    • On the resultant of a large number of vibrations of the same pitch and of arbitrary phase
    • 65.
    • Rayleigh, Lord (1880). On the resultant of a large number of vibrations of the same pitch and of arbitrary phase. Phil. Mag., 10, 73-78. (65).
    • (1880) Phil. Mag. , vol.10 , pp. 73-78
    • Rayleigh, L.1
  • 348
    • 33750474190 scopus 로고
    • The problem of the random walk
    • 65.
    • Rayleigh, Lord (1905). The problem of the random walk. Nature, 72, 318. (65).
    • (1905) Nature , vol.72 , pp. 318
    • Rayleigh, L.1
  • 349
    • 0000645464 scopus 로고
    • On the problem of random vibrations, and of random flights in one, two, or three dimensions
    • 9, 68, 189, 206.
    • Rayleigh, Lord (1919). On the problem of random vibrations, and of random flights in one, two, or three dimensions. Phil. Mag., (6), 37, 321-347. (9, 68, 189, 206).
    • (1919) Phil. Mag., 6 , vol.37 , pp. 321-347
    • Rayleigh, L.1
  • 350
    • 0003571149 scopus 로고
    • Map Projections far Geodesists, Cartographers & Geographers
    • North-Holland, London. (161).
    • Richardus, P. & Adler R. K. (1972). Map Projections far Geodesists, Cartographers & Geographers. North-Holland, London. (161).
    • (1972)
    • Richardus, P.1    Adler, R.K.2
  • 351
    • 0009963291 scopus 로고
    • Some statistical methods for bivariate circular data
    • 256, 257.
    • Rivest, L.-P. (1982). Some statistical methods for bivariate circular data. J. Roy. Statist. Soc. Ser. B, 44, 81-90. (256, 257).
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 81-90
    • Rivest, L.-P.1
  • 352
    • 0011075475 scopus 로고
    • On the information matrix for symmetric distributions on the hypersphere
    • 176.
    • Rivest, L.-P. (1984). On the information matrix for symmetric distributions on the hypersphere. Ann. Statist, 12, 1085-1089. (176).
    • (1984) Ann. Statist , vol.12 , pp. 1085-1089
    • Rivest, L.-P.1
  • 353
    • 38249041624 scopus 로고
    • Modified Kent's statistics for testing the goodness-of-fit of the Fisher distribution in small concentrated samples
    • 273.
    • Rivest, L.-P. (1986). Modified Kent's statistics for testing the goodness-of-fit of the Fisher distribution in small concentrated samples. Statist. Pivbab. Lett., 4, 1-4. (273).
    • (1986) Statist. Pivbab. Lett. , vol.4 , pp. 1-4
    • Rivest, L.-P.1
  • 354
    • 0009995343 scopus 로고
    • A distribution for dependent unit vectors
    • 262.
    • Rivest, L.-P. (1988). A distribution for dependent unit vectors. Comm. Statist. Theory Methods, 17, 461-483. (262).
    • (1988) Comm. Statist. Theory Methods , vol.17 , pp. 461-483
    • Rivest, L.-P.1
  • 355
    • 0001515355 scopus 로고
    • Spherical regression for concentrated Fisher-von Mises distributions
    • 260, 261, 269).
    • Rivest, L.-P. (1989). Spherical regression for concentrated Fisher-von Mises distributions. Ann. Statist., 17, 307-317. (260, 261, 269).
    • (1989) Ann. Statist. , vol.17 , pp. 307-317
    • Rivest, L.-P.1
  • 356
    • 18044388647 scopus 로고    scopus 로고
    • A dcceutred predictor for circular-circular regression
    • 261.
    • Rivest, L.-P. (1997). A dcceutred predictor for circular-circular regression. Biometrika, 84, 717-726. (261).
    • (1997) Biometrika , vol.84 , pp. 717-726
    • Rivest, L.-P.1
  • 357
    • 0039330888 scopus 로고
    • Random waik on a sphere and on a Riemannian manifold
    • 174.
    • Roberts, P. H. & Ursell, H. D. (1960). Random waik on a sphere and on a Riemannian manifold. Phil. Trans. Roy. Soc. London Ser. A, 252, 317-356. (174).
    • (1960) Phil. Trans. Roy. Soc. London Ser. A , vol.252 , pp. 317-356
    • Roberts, P.H.1    Ursell, H.D.2
  • 359
    • 40249103582 scopus 로고
    • Optimal robust estimators for the concentration parameter of a Fisher von Mises distribution
    • K. V. Mardia (ed.), Wiley, Chichester. (276).
    • R.onchetti, E. (1992). Optimal robust estimators for the concentration parameter of a Fisher von Mises distribution. In K. V. Mardia (ed.), The Art of Statistical Science: A Tribute to G. S. Watson, pp. 65-74. Wiley, Chichester. (276).
    • (1992) The Art of Statistical Science: A Tribute to G. S. Watson , pp. 65-74
    • R.onchetti, E.1
  • 361
    • 0038523606 scopus 로고
    • Tests of coordinate independence for a bivariate sample on a torus
    • 253.
    • Rothman, E. D. (1971). Tests of coordinate independence for a bivariate sample on a torus. Ann. Math. Statist, 42, 1962-1969. (253).
    • (1971) Ann. Math. Statist , vol.42 , pp. 1962-1969
    • Rothman, E.D.1
  • 362
    • 0009627532 scopus 로고
    • Tests for uniformity of a circular distribution
    • 109, 112.
    • Rothman, E. D. (1972). Tests for uniformity of a circular distribution. Sankhya Ser. A, 34, 23-32. (109, 112).
    • (1972) Sankhya Ser. A , vol.34 , pp. 23-32
    • Rothman, E.D.1
  • 363
    • 0010132158 scopus 로고    scopus 로고
    • An expanded table of probability values for Rao's spacing test
    • 108.
    • Russell, G. S. & Levitin, D. J. (1996). An expanded table of probability values for Rao's spacing test. Comm. Statist. Simulation Comput, 24, 879-888. (108).
    • (1996) Comm. Statist. Simulation Comput , vol.24 , pp. 879-888
    • Russell, G.S.1    Levitin, D.J.2
  • 364
    • 0042886187 scopus 로고
    • Strong uniform convergence of density estimators on spheres
    • 278.
    • Ruymgaart F. H. (1989). Strong uniform convergence of density estimators on spheres. J. Statist. Plann. Inference, 23, 45-52. (278).
    • (1989) J. Statist. Plann. Inference , vol.23 , pp. 45-52
    • Ruymgaart, F.H.1
  • 365
    • 0017877864 scopus 로고
    • A family of distributions on the m-sphere and some hypothesis tests
    • 179.
    • Saw, J. G. (1978). A family of distributions on the m-sphere and some hypothesis tests. Biometrika, 65. 69-73. (179).
    • (1978) Biometrika , vol.65 , pp. 69-73
    • Saw, J.G.1
  • 366
    • 1642401052 scopus 로고
    • Dependent unit vectors
    • 179.
    • Saw, J. G. (1983). Dependent unit vectors. Biometrika, 70, 665-671. (179).
    • (1983) Biometrika , vol.70 , pp. 665-671
    • Saw, J.G.1
  • 367
    • 0013098624 scopus 로고
    • Ultraspherical polynomials and statistics on the m-sphere
    • 179.
    • Saw, J. G. (1984). Ultraspherical polynomials and statistics on the m-sphere. J. Multivariate Anal., 14, 105-113. (179).
    • (1984) J. Multivariate Anal. , vol.14 , pp. 105-113
    • Saw, J.G.1
  • 368
    • 84981721207 scopus 로고
    • Nonparametric Tests of Location for Circular Distributions
    • Technical Report 95, Dept. of Statist., Minnesota University. (154, 155).
    • Schach, S. (1967). Nonparametric Tests of Location for Circular Distributions. Technical Report 95, Dept. of Statist., Minnesota University. (154, 155).
    • (1967)
    • Schach, S.1
  • 369
    • 0012948492 scopus 로고
    • Nonparametric symmetry tests for circular distributions
    • 146.
    • Schach, S. (1969). Nonparametric symmetry tests for circular distributions. Biometrika, 56, 571-577. (146).
    • (1969) Biometrika , vol.56 , pp. 571-577
    • Schach, S.1
  • 370
    • 70350303423 scopus 로고
    • On a class of nonparametric two-sample tests for circular distributions
    • 149, 155.
    • Schach, S. (1969). On a class of nonparametric two-sample tests for circular distributions. Ann. Math. Statist, 40, 1791-1800. (149, 155).
    • (1969) Ann. Math. Statist , vol.40 , pp. 1791-1800
    • Schach, S.1
  • 371
    • 0027543767 scopus 로고
    • Towards statistics of crystal orientations in quantitative texture analysis
    • 289.
    • Schaeben, H. (1993). Towards statistics of crystal orientations in quantitative texture analysis. J. Appl. Cryst. 26, 112-121. (289).
    • (1993) J. Appl. Cryst. , vol.26 , pp. 112-121
    • Schaeben, H.1
  • 372
    • 84995189620 scopus 로고
    • Experimented Einflitssnahme auf die 24- Stunden-Periodik bei Brieftauben und deren Auswirkungen unter besonderer Beriicksichtigung des Heimfindcvermogeus
    • 131.
    • Schmidt-Koenig, K. (1958). Experimented Einflitssnahme auf die 24- Stunden-Periodik bei Brieftauben und deren Auswirkungen unter besonderer Beriicksichtigung des Heimfindcvermogeus. Z. Tierjisychoi. 15, 301 331. (131).
    • (1958) Z. Tierjisychoi. , vol.15 , pp. 301-331
    • Schmidt-Koenig, K.1
  • 373
    • 0000996595 scopus 로고
    • On the role of the loft, the distance and site of release in pigeon homing (the "cross-loft experiment")
    • 93, 125.
    • Schmidt-Koenig, K. (1963). On the role of the loft, the distance and site of release in pigeon homing (the "cross-loft experiment"). Biol. Bull., 125, 154-164. (93, 125).
    • (1963) Biol. Bull. , vol.125 , pp. 154-164
    • Schmidt-Koenig, K.1
  • 374
    • 0000743994 scopus 로고
    • Current problems in bird orientation
    • D. Lehrmanet al. (eds), Academic Press, New York. (8).
    • Schmidt-Koenig, K. (1965). Current problems in bird orientation. In D. Lehrmanet al. (eds). Advances in the Study of Behaviour, pp. 217-278, Academic Press, New York. (8).
    • (1965) Advances in the Study of Behaviour , pp. 217-278
    • Schmidt-Koenig, K.1
  • 375
    • 0017846359 scopus 로고
    • Estimation of the concentration parameter in von Mises-Fisher distributions
    • 87, 88, 89, 200, 201, 350.
    • Schou, G. (1978). Estimation of the concentration parameter in von Mises-Fisher distributions. Biometrika, 65, 369-377. (87, 88, 89, 200, 201, 350).
    • (1978) Biometrika , vol.65 , pp. 369-377
    • Schou, G.1
  • 376
    • 0010812938 scopus 로고
    • Girdle distributions on a sphere
    • 183.
    • Selby, B. (1964). Girdle distributions on a sphere. Biometrika, 51, 381-392. (183).
    • (1964) Biometrika , vol.51 , pp. 381-392
    • Selby, B.1
  • 377
    • 0038609057 scopus 로고
    • Statistical analysis of crossbedding azimuths from the Kamthi formation around Bheemarani
    • 8.
    • Sengupta, S. & Rao, J. S. (1966). Statistical analysis of crossbedding azimuths from the Kamthi formation around Bheemarani. Pranhita-Godavari valley. Sankhyd Ser. B, 28, 165-174. (8).
    • (1966) Pranhita-Godavari valley. Sankhyd Ser. B , vol.28 , pp. 165-174
    • Sengupta, S.1    Rao, J.S.2
  • 378
    • 0001623011 scopus 로고
    • A random variable related to the spacing of sample value
    • 108.
    • Sherman, B. (1950). A random variable related to the spacing of sample value. Ann. Math. Statist, 21, 339-351. (108).
    • (1950) Ann. Math. Statist , vol.21 , pp. 339-351
    • Sherman, B.1
  • 379
    • 34248963252 scopus 로고
    • Nonparametric Statistics for the Behavioural Sciences
    • McGraw- Hill, New York. (146).
    • Siegel, S. (1956). Nonparametric Statistics for the Behavioural Sciences. McGraw- Hill, New York. (146).
    • (1956)
    • Siegel, S.1
  • 380
    • 0005821818 scopus 로고
    • On estimating the parameters in mixtures of circular normal distributions
    • 91.
    • Spurr, B. D. (1981). On estimating the parameters in mixtures of circular normal distributions. J. Math. Geol, 13, 163-173. (91).
    • (1981) J. Math. Geol , vol.13 , pp. 163-173
    • Spurr, B.D.1
  • 381
    • 0002630177 scopus 로고
    • A comparison of various methods for estimating the parameters in mixtures of von Mises distributions
    • 90.
    • Spurr, B. D. & Koutbeiy, M. A. (1991). A comparison of various methods for estimating the parameters in mixtures of von Mises distributions. Comm. Statist. Simulation Comput., 20, 725-741. (90).
    • (1991) Comm. Statist. Simulation Comput. , vol.20 , pp. 725-741
    • Spurr, B.D.1    Koutbeiy, M.A.2
  • 382
    • 26444461332 scopus 로고
    • Limit theorems for uniform distributions on spheres in high dimensional Euclidean spaces
    • 192.
    • Stara A. J. (1982). Limit theorems for uniform distributions on spheres in high dimensional Euclidean spaces. J. Appl. Probab., 19, 221-229. (192).
    • (1982) J. Appl. Probab. , vol.19 , pp. 221-229
    • Stara, A.J.1
  • 383
    • 0000352287 scopus 로고
    • The Smirnov two-sample tests as rank tests
    • 150.
    • Steck, G. P. (1969). The Smirnov two-sample tests as rank tests. i4nn. Math. Statist, 40, 1449-1466. (150).
    • (1969) i4nn. Math. Statist , vol.40 , pp. 1449-1466
    • Steck, G.P.1
  • 384
    • 0001280091 scopus 로고
    • Exact and approximate tests for directions I
    • 67, 124.
    • Stephens, M. A. (1962). Exact and approximate tests for directions I. Biometrika, 49, 463-477. (67, 124).
    • (1962) Biometrika , vol.49 , pp. 463-477
    • Stephens, M.A.1
  • 385
    • 0001280091 scopus 로고
    • Exact and approximate tests for directions II
    • 185, 213.
    • Stephens, M. A. (1962). Exact and approximate tests for directions II. Biometrika, 49, 547-552. (185, 213).
    • (1962) Biometrika , vol.49 , pp. 547-552
    • Stephens, M.A.1
  • 386
    • 0001693592 scopus 로고
    • Random walk on a circle
    • 38, 44, 51.
    • Stephens, M. A. (1963). Random walk on a circle. Biometrika, 50, 385-390. (38, 44, 51).
    • (1963) Biometrika , vol.50 , pp. 385-390
    • Stephens, M.A.1
  • 388
    • 0014094608 scopus 로고
    • Tests for the dispersion and the modal vector of a distribution on a sphere
    • 190, 388.
    • Stephens, M. A. (1967). Tests for the dispersion and the modal vector of a distribution on a sphere. Biometrika, 54, 211-223. (190, 388).
    • (1967) Biometrika , vol.54 , pp. 211-223
    • Stephens, M.A.1
  • 389
    • 70350279144 scopus 로고
    • Tests for the von Mises distribution
    • 79, 127.
    • Stephens M. A. (1969). Tests for the von Mises distribution. Biometrika, 56. 149-160. (79, 127).
    • (1969) Biometrika , vol.56 , pp. 149-160
    • Stephens, M.A.1
  • 390
    • 0009561007 scopus 로고
    • A goodness-of-fit statistic for the circle, with some comparisons
    • 109, 115.
    • Stephens, M. A. (1969). A goodness-of-fit statistic for the circle, with some comparisons. Biometrika, 56, 161-168. (109, 115).
    • (1969) Biometrika , vol.56 , pp. 161-168
    • Stephens, M.A.1
  • 391
    • 78751487861 scopus 로고
    • Multi-sample tests for the Fisher distribution for directions
    • 389, 390.
    • Stephens, M. A. (1969). Multi-sample tests for the Fisher distribution for directions. Biometrika, 56, 169-181. (389, 390).
    • (1969) Biometrika , vol.56 , pp. 169-181
    • Stephens, M.A.1
  • 392
    • 0344348721 scopus 로고
    • Tests for randomness of directions against two circular alternatives
    • 365.
    • Stephens, M. A. (1969d). Tests for randomness of directions against two circular alternatives. J. Amer. Statist. Assoc., 64, 280-289. (365).
    • (1969) J. Amer. Statist. Assoc. , vol.64 , pp. 280-289
    • Stephens, M.A.1
  • 393
    • 0012901438 scopus 로고
    • Techniques for Directional Data
    • Technical Report 150, Dept. of Statist., Stanford Univ. (10).
    • Stephens, M. A. (1969e). Techniques for Directional Data. Technical Report 150, Dept. of Statist., Stanford Univ. (10).
    • (1969)
    • Stephens, M.A.1
  • 394
    • 0000634854 scopus 로고
    • Use of the Kolmogorov-Smirnov, Cramer-von Mises and related statistics without extensive tables
    • 102, 104.
    • Stephens, M. A. (1970). Use of the Kolmogorov-Smirnov, Cramer-von Mises and related statistics without extensive tables. J. Roy. Statist. Soc. Ser. B, 32, 115- 122. (102, 104).
    • (1970) J. Roy. Statist. Soc. Ser. B , vol.32 , pp. 115-122
    • Stephens, M.A.1
  • 395
    • 41249090097 scopus 로고
    • Multi-sample Tests for the von Mises Distribution
    • Technical Report 190, Dept. of Statist., Stanford Univ. (130, 135).
    • Stephens, M. A. (1972). Multi-sample Tests for the von Mises Distribution, Technical Report 190, Dept. of Statist., Stanford Univ. (130, 135).
    • (1972)
    • Stephens, M.A.1
  • 396
    • 84950622021 scopus 로고
    • EDF statistics for goodness of fit and some comparisons
    • 270.
    • Stephens, M. A. (1974). EDF statistics for goodness of fit and some comparisons. J. Amer. Statist. Assoc, 69, 730-737. (270).
    • (1974) J. Amer. Statist. Assoc , vol.69 , pp. 730-737
    • Stephens, M.A.1
  • 397
    • 0018344990 scopus 로고
    • Vector correlation
    • 255, 256.
    • Stephens, M. A. (1979). Vector correlation. Biometrika, 66, 41-48. (255, 256).
    • (1979) Biometrika , vol.66 , pp. 41-48
    • Stephens, M.A.1
  • 398
    • 0342700900 scopus 로고
    • Use of the von Mises distribution to analyse continuous proportions
    • 141, 227.
    • Stephens, M. A. (1982). Use of the von Mises distribution to analyse continuous proportions. Biometrika, 69, 197 203. (141, 227).
    • (1982) Biometrika , vol.69 , pp. 197 203
    • Stephens, M.A.1
  • 399
  • 400
    • 0003477556 scopus 로고
    • Kendall's Advanced Theory of Statistics
    • 5th edition), Griffin, Loudon. (23).
    • Stuart, A. & Ord, J. K. (1987). Kendall's Advanced Theory of Statistics, Vol. 1 (5th edition), Griffin, Loudon. (23).
    • (1987) , vol.1
    • Stuart, A.1    Ord, J.K.2
  • 401
    • 0003477556 scopus 로고
    • Kendall's Advanced Theory of Statistics
    • 5th edition), Edward Arnold, London. (79, 120, 121, 140, 226).
    • Stuart, A. & Ord, J. K. (1991). Kendall's Advanced Theory of Statistics, Vol. 2 (5th edition), Edward Arnold, London. (79, 120, 121, 140, 226).
    • (1991) , vol.2
    • Stuart, A.1    Ord, J.K.2
  • 402
    • 84976150915 scopus 로고
    • An inequality for the trace of the product of two symmetric matrices
    • 203.
    • Theobald, C M. (1975). An inequality for the trace of the product of two symmetric matrices. Proc. Cambridge Phil. Soc, 77, 265-267. (203).
    • (1975) Proc. Cambridge Phil. Soc , vol.77 , pp. 265-267
    • Theobald, C.M.1
  • 403
  • 404
    • 0003943949 scopus 로고
    • The Theory of Functions
    • 2nd ed. Oxford University Press, Oxford. (58, 61, 63).
    • Titchmarsh, E. C. (1958). The Theory of Functions, 2nd ed. Oxford University Press, Oxford. (58, 61, 63).
    • (1958)
    • Titchmarsh, E.C.1
  • 405
    • 0003747605 scopus 로고
    • Statistical Analysis of Finite Mixture Distributions
    • Wiley, Chichester. (90).
    • Titterington, D. M., Smith, A. F. M. & Makov, U. E. (1985). Statistical Analysis of Finite Mixture Distributions. Wiley, Chichester. (90).
    • (1985)
    • Titterington, D.M.1    Smith, A.F.M.2    Makov, U.E.3
  • 406
    • 0010927752 scopus 로고
    • Statistical analysis for the angular central Gaussian distribution on the sphere
    • 182, 206, 343.
    • Tyler, D. (1987). Statistical analysis for the angular central Gaussian distribution on the sphere. Biometrika, 74, 579-589. (182, 206, 343).
    • (1987) Biometrika , vol.74 , pp. 579-589
    • Tyler, D.1
  • 407
    • 30944447928 scopus 로고
    • Single-sample tests for the von Mises distribution
    • 122.
    • Upton, G. J. G. (1973). Single-sample tests for the von Mises distribution. Biometrika, 60, 87-99. (122).
    • (1973) Biometrika , vol.60 , pp. 87-99
    • Upton, G.J.G.1
  • 408
    • 85041975153 scopus 로고
    • New approximations to the distribution of certain angular statistics
    • 41.
    • Upton, G. J. G. (1974). New approximations to the distribution of certain angular statistics. Biometrika, 61, 369-373. (41).
    • (1974) Biometrika , vol.61 , pp. 369-373
    • Upton, G.J.G.1
  • 409
    • 0003584301 scopus 로고
    • Spatial Data Analysis by Example
    • Wiley, Chichester, (xx).
    • Upton, G. J. G. & Fingleton, B. (1989). Spatial Data Analysis by Example, Vol. U. Wiley, Chichester, (xx).
    • (1989) , vol.2
    • Upton, G.J.G.1    Fingleton, B.2
  • 410
    • 0039104554 scopus 로고
    • Structural Diagrams
    • Pergainon, London. (219, 220).
    • Vistelius, A. B. (1966). Structural Diagrams. Pergainon, London. (219, 220).
    • (1966)
    • Vistelius, A.B.1
  • 411
    • 0000251057 scopus 로고
    • Über die "Ganzzahligkeit" der Atoingewichte und verwandte Fragen
    • 9, 36, 42, 99.
    • von Mises, R. (1918). Über die "Ganzzahligkeit" der Atoingewichte und verwandte Fragen. Phys. Z., 19, 490-500. (9, 36, 42, 99).
    • (1918) Phys. Z. , vol.19 , pp. 490-500
    • von Mises, R.1
  • 412
    • 0004102169 scopus 로고
    • Section on problems and solutions: A least squares estimate of satellite attitude
    • 259.
    • Wahba, G. (1966). Section on problems and solutions: A least squares estimate of satellite attitude. SIAM Rev., 8, 384-385. (259).
    • (1966) SIAM Rev. , vol.8 , pp. 384-385
    • Wahba, G.1
  • 413
    • 0003466536 scopus 로고
    • Splme Models for Observational Data
    • Society for Industrial and Applied Mathematics, Philadelphia. (281).
    • Wahba, G. (1990). Splme Models for Observational Data. Society for Industrial and Applied Mathematics, Philadelphia. (281).
    • (1990)
    • Wahba, G.1
  • 414
    • 30944437001 scopus 로고
    • Tests for a given linear structure of the mean direction of the Langevin distribution
    • 217, 218.
    • Watainori, V. (1992). Tests for a given linear structure of the mean direction of the Langevin distribution. Ann. Inst. Statist. Math., 44, 147-156. (217, 218).
    • (1992) Ann. Inst. Statist. Math. , vol.44 , pp. 147-156
    • Watainori, V.1
  • 415
    • 84933424701 scopus 로고
    • The analysis of spatial orientation
    • 12.
    • Waterman, T. H. (1963). The analysis of spatial orientation. Brgeb. Biol., 26, 98-117. (12).
    • (1963) Brgeb. Biol. , vol.26 , pp. 98-117
    • Waterman, T.H.1
  • 416
    • 0003851678 scopus 로고
    • A Treatise on the Theory of Bessel Functions
    • 2nd ed. Cambridge University Press, Cambridge. (349, 350).
    • Watson, G. N. (1948). A Treatise on the Theory of Bessel Functions, 2nd ed. Cambridge University Press, Cambridge. (349, 350).
    • (1948)
    • Watson, G.N.1
  • 419
    • 0002842310 scopus 로고
    • More significance tests on the sphere
    • 231.
    • Watson, G. S. (I960). More significance tests on the sphere. Biometrika, 47, 87-91. (231).
    • (1960) Biometrika , vol.47 , pp. 87-91
    • Watson, G.S.1
  • 420
    • 0000365457 scopus 로고
    • Goodness-of-fit tests on a circle
    • 103, 105.
    • Watson, G. S. (1961). Goodness-of-fit tests on a circle. Biometrika, 48, 109-114. (103, 105).
    • (1961) Biometrika , vol.48 , pp. 109-114
    • Watson, G.S.1
  • 421
    • 0005713977 scopus 로고
    • Goodness-of-fit tests on a circle, II
    • 149, 151, 152.
    • Watson, G. S. (1962). Goodness-of-fit tests on a circle, II. Biometrika, 49, 57-63. (149, 151, 152).
    • (1962) Biometrika , vol.49 , pp. 57-63
    • Watson, G.S.1
  • 422
    • 0001402662 scopus 로고
    • Equatorial distributions on a sphere
    • 180.
    • Watson, G. S. (1965). Equatorial distributions on a sphere. Biometrika, 52. 193- 201. (180).
    • (1965) Biometrika , vol.52 , pp. 193-201
    • Watson, G.S.1
  • 423
    • 0014181156 scopus 로고
    • Another test for the uniformity of a circular distribution
    • 109.
    • Watson, G. S. (1967). Another test for the uniformity of a circular distribution. Biometrika, 54, 675- 677. (109).
    • (1967) Biometrika , vol.54 , pp. 675-677
    • Watson, G.S.1
  • 424
    • 0009621315 scopus 로고
    • Orientation statistics in the earth sciences
    • 7, 208, 209).
    • Watson, G. S. (1970). Orientation statistics in the earth sciences. Bull. Geol. Inst. Univ. Uppsala, 2, 73-89. (7, 208, 209).
    • (1970) Bull. Geol. Inst. Univ. Uppsala , vol.2 , pp. 73-89
    • Watson, G.S.1
  • 425
    • 0040753651 scopus 로고
    • Optimal invariant tests for uniformity
    • E. J. Williams (ed.), North-Holland, Amsterdam. (105).
    • Watson, G. S. (1976). Optimal invariant tests for uniformity. Iu E. J. Williams (ed.), Studies in Probability and Statistics, pp. 121 127, North-Holland, Amsterdam. (105).
    • (1976) Studies in Probability and Statistics , pp. 121 127
    • Watson, G.S.1
  • 427
    • 33847685872 scopus 로고
    • Large sample theory of the Langevin distribution
    • 142, 187, 188, 215, 228, 229, 231.
    • Watson, G. S. (1983). Large sample theory of the Langevin distribution. J. Stat. Plann. Inference, 8, 245-256. (142, 187, 188, 215, 228, 229, 231).
    • (1983) J. Stat. Plann. Inference , vol.8 , pp. 245-256
    • Watson, G.S.1
  • 428
    • 0010888558 scopus 로고
    • Large sample theory for distributions on the hypersphere with rotational symmetries
    • 180, 187, 188, 215.
    • Watson, G. S. (1983). Large sample theory for distributions on the hypersphere with rotational symmetries. Ann. Inst. Statist. Math., 35, 303-319. (180, 187, 188, 215).
    • (1983) Ann. Inst. Statist. Math. , vol.35 , pp. 303-319
    • Watson, G.S.1
  • 429
    • 85053738695 scopus 로고
    • Limit theorems on high dimensional spheres and Stiefel manifolds
    • S. Karlin, T. Amemiya & L. A. Goodman (eds), Academic Press, New York. (192, 292).
    • Watson, G. S. (1983d). Limit theorems on high dimensional spheres and Stiefel manifolds. Iu S. Karlin, T. Amemiya & L. A. Goodman (eds). Studies in Econometrics, Time Series and Multivariate Statistics, pp. 559-570, Academic Press, New York. (192, 292).
    • (1983) Studies in Econometrics, Time Series and Multivariate Statistics , pp. 559-570
    • Watson, G.S.1
  • 431
    • 0037478367 scopus 로고
    • The theory of concentrated Langevin distributions
    • 229.
    • Watson, G. S. (1984). The theory of concentrated Langevin distributions. J. Multivariate Anal., 14, 74-82. (229).
    • (1984) J. Multivariate Anal. , vol.14 , pp. 74-82
    • Watson, G.S.1
  • 432
    • 0038806249 scopus 로고
    • Interpolation and smoothing of directed and undirected line data
    • P. R. Krislmaiah (ed.), Academic Press, New York. (280, 281).
    • Watson, G. S. (1985). Interpolation and smoothing of directed and undirected line data. In P. R. Krislmaiah (ed.), Multivariate Analysis VI, pp. 613-625. Academic Press, New York. (280, 281).
    • (1985) Multivariate Analysis , vol.6 , pp. 613-625
    • Watson, G.S.1
  • 433
    • 51249172050 scopus 로고
    • Some estimation theory on the sphere
    • 274.
    • Watson. G. S. (1986). Some estimation theory on the sphere. Ann. Inst. Statist. Math., 38, 263-275. (274).
    • (1986) Ann. Inst. Statist. Math. , vol.38 , pp. 263-275
    • Watson, G.S.1
  • 434
    • 0009963010 scopus 로고
    • The Langeviu distribution on high dimensional spheres
    • 192.
    • Watson. G. S. (1988). The Langeviu distribution on high dimensional spheres. J. Appl. Statist., 15, 123-130. (192).
    • (1988) J. Appl. Statist. , vol.15 , pp. 123-130
    • Watson, G.S.1
  • 435
    • 84945786696 scopus 로고
    • Distribution of angles between unit vectors and the multiple comparison problem for unit vectors
    • 226.
    • Watson, G. S. (1994). Distribution of angles between unit vectors and the multiple comparison problem for unit vectors. J. Appl. Statist., 21, 327-333. (226).
    • (1994) J. Appl. Statist. , vol.21 , pp. 327-333
    • Watson, G.S.1
  • 436
    • 84959964183 scopus 로고
    • N test for uniformity of discrete distributions
    • 105.
    • N test for uniformity of discrete distributions. J. Appl. Statist., 22, 273-276. (105).
    • (1995) J. Appl. Statist. , vol.22 , pp. 273-276
    • Watson, G.S.1
  • 437
    • 0010109988 scopus 로고
    • Testing a sequence of unit vectors for serial correlation
    • 256, 263.
    • Watson, G. S. & Beran, R. J. (1967). Testing a sequence of unit vectors for serial correlation. J. Gcophys. Res., 72, 5655-5659. (256, 263).
    • (1967) J. Gcophys. Res. , vol.72 , pp. 5655-5659
    • Watson, G.S.1    Beran, R.J.2
  • 438
    • 0026486591 scopus 로고
    • Testing whether two Fisher distributions have the same center
    • 228.
    • Watson, G. S. & Debiche M. G. (1992). Testing whether two Fisher distributions have the same center. Geophys. J., 109, 225-232. (228).
    • (1992) Geophys. J. , vol.109 , pp. 225-232
    • Watson, G.S.1    Debiche, M.G.2
  • 439
    • 0001716187 scopus 로고
    • On the construction of significance tests on the circle and the sphere
    • 75, 80, 123, 129, 130, 170, 185, 214, 219.
    • Watson, G. S. & Williams, E. (1956). On the construction of significance tests on the circle and the sphere. Biometrika, 43, 344 352. (75, 80, 123, 129, 130, 170, 185, 214, 219).
    • (1956) Biometrika , vol.43 , pp. 344 352
    • Watson, G.S.1    Williams, E.2
  • 440
    • 0018822719 scopus 로고
    • Bivariate models for dependence of angular observations and a related Markov process
    • 265.
    • Wchrly, T. & Johnson, R. A. (1980). Bivariate models for dependence of angular observations and a related Markov process. Biometrika, 67, 255-256. (265).
    • (1980) Biometrika , vol.67 , pp. 255-256
    • Wchrly, T.1    Johnson, R.A.2
  • 441
    • 84981707519 scopus 로고
    • Influence curves for directional data
    • 274.
    • Wchrly, T. & Shine, E. P. (1981). Influence curves for directional data. Biometrika, 68, 634-635. (274).
    • (1981) Biometrika , vol.68 , pp. 634-635
    • Wchrly, T.1    Shine, E.P.2
  • 442
    • 24944458292 scopus 로고
    • Permutation tests for directional data
    • 243, 300.
    • Wellner, J. A. (1979). Permutation tests for directional data. Ann. Statist., 7, 929-943. (243, 300).
    • (1979) Ann. Statist. , vol.7 , pp. 929-943
    • Wellner, J.A.1
  • 443
    • 0041960095 scopus 로고
    • A distribution-free two-sample test on a circle
    • 148.
    • Wheeler, S. & Watson G. S. (1964). A distribution-free two-sample test on a circle. Biometrika, 51, 256-257. (148).
    • (1964) Biometrika , vol.51 , pp. 256-257
    • Wheeler, S.1    Watson, G.S.2
  • 444
    • 0041806814 scopus 로고
    • Rayleigh test for randomness of circular data
    • 95.
    • Wilkie, D. (1983). Rayleigh test for randomness of circular data. Appl. Statist., 32, 311-312. (95).
    • (1983) Appl. Statist. , vol.32 , pp. 311-312
    • Wilkie, D.1
  • 445
    • 51049115215 scopus 로고
    • On the shape of the angular case of Cauchy's distribution curves
    • 52.
    • Wintner, A. (1947). On the shape of the angular case of Cauchy's distribution curves. Ann. Math. Statist., 18, 589-593. (52).
    • (1947) Ann. Math. Statist. , vol.18 , pp. 589-593
    • Wintner, A.1
  • 446
    • 67049151613 scopus 로고
    • A bimodal distribution for the sphere
    • 178.
    • Wood, A. T. A. (1982). A bimodal distribution for the sphere. Appl. Statist, 31, 52-58. (178).
    • (1982) Appl. Statist , vol.31 , pp. 52-58
    • Wood, A.T.A.1
  • 447
    • 0012307212 scopus 로고
    • Some notes on the Fisher-Bingham family on the sphere
    • 175, 176.
    • Wood, A. T. A. (1988). Some notes on the Fisher-Bingham family on the sphere. Comm. Statist. Theory Methods, 17, 3881-3897. (175, 176).
    • (1988) Comm. Statist. Theory Methods , vol.17 , pp. 3881-3897
    • Wood, A.T.A.1
  • 448
    • 0006057693 scopus 로고
    • Simulation of the von Mises-Fisher distribution
    • 172.
    • Wood, A. T. A. (1994). Simulation of the von Mises-Fisher distribution. Comm. Statist. Simulation Compul., 23, 157-164. (172).
    • (1994) Comm. Statist. Simulation Compul. , vol.23 , pp. 157-164
    • Wood, A.T.A.1
  • 449
    • 84950190169 scopus 로고
    • A modified likelihood ratio test for the mean direction in the von Mises distribution
    • 122, 211.
    • Yamamoto, E. & Yanagimoto, T. (1995). A modified likelihood ratio test for the mean direction in the von Mises distribution. Comm. Statist. Theory Methods, 24, 2659-2678. (122, 211).
    • (1995) Comm. Statist. Theory Methods , vol.24 , pp. 2659-2678
    • Yamamoto, E.1    Yanagimoto, T.2
  • 450
    • 34248551694 scopus 로고
    • An extension of the von Mises distribution
    • 45.
    • Yfantis, E. A. & Borgman L. E. (1982). An extension of the von Mises distribution. Comm. Statist. Theory Methods, 11, 1695-1706. (45).
    • (1982) Comm. Statist. Theory Methods , vol.11 , pp. 1695-1706
    • Yfantis, E.A.1    Borgman, L.E.2
  • 451
    • 84953751498 scopus 로고
    • Trigonometric Series
    • Cambridge University Press, Cambridge. (27).
    • Zygmuud, A. (1959). Trigonometric Series. Cambridge University Press, Vol. 1, Cambridge. (27).
    • (1959) , vol.1
    • Zygmuud, A.1


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