메뉴 건너뛰기




Volumn , Issue , 2012, Pages 1-237

Nonparametric inference on manifolds: With applications to shape spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84925141876     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9781139094764     Document Type: Book
Times cited : (122)

References (126)
  • 3
    • 0000447704 scopus 로고
    • On one term Edgeworth correction by Efron's bootstrap
    • Babu, G. J. and Singh, K. 1984. On one term Edgeworth correction by Efron's bootstrap. Sankhya Ser. A, 46, 219-232.
    • (1984) Sankhya Ser. A , vol.46 , pp. 219-232
    • Babu, G.J.1    Singh, K.2
  • 4
    • 57249111206 scopus 로고    scopus 로고
    • Algorithms for nonparametric inference on shape manifolds
    • Minneapolis
    • Bandulasiri, A. and Patrangenaru, V. 2005. Algorithms for nonparametric inference on shape manifolds. Proc. JSM 2005, Minneapolis, pp. 1617-1622.
    • (2005) Proc. JSM 2005 , pp. 1617-1622
    • Bandulasiri, A.1    Patrangenaru, V.2
  • 5
    • 68949220238 scopus 로고    scopus 로고
    • Nonparametric inference on shape manifolds with applications in medical imaging
    • Bandulasiri, A., Bhattacharya, R. N., and Patrangenaru, V. 2009. Nonparametric inference on shape manifolds with applications in medical imaging. J. Multivariate Analysis, 100, 1867-1882.
    • (2009) J. Multivariate Analysis , vol.100 , pp. 1867-1882
    • Bandulasiri, A.1    Bhattacharya, R.N.2    Patrangenaru, V.3
  • 6
    • 0033438067 scopus 로고    scopus 로고
    • The consistency of posterior distribution in nonparametric problems
    • Barron, A. R., Schervish, M., and Wasserman, L. 1999. The consistency of posterior distribution in nonparametric problems. Ann. Statist., 27, 536-561.
    • (1999) Ann. Statist , vol.27 , pp. 536-561
    • Barron, A.R.1    Schervish, M.2    Wasserman, L.3
  • 7
    • 0000998802 scopus 로고
    • Uniformly powerful goodness of fit tests
    • Barron, A. R. 1989. Uniformly powerful goodness of fit tests. Ann. Statist., 17, 107-124.
    • (1989) Ann. Statist , vol.17 , pp. 107-124
    • Barron, A.R.1
  • 8
    • 0000072615 scopus 로고
    • Testing for uniformity on a compact homogeneous space
    • Beran, R. J. 1968. Testing for uniformity on a compact homogeneous space. J. Appl. Probability, 5, 177-195.
    • (1968) J. Appl. Probability , vol.5 , pp. 177-195
    • Beran, R.J.1
  • 9
    • 0000424410 scopus 로고
    • Prepivoting to reduce level error of confidence sets
    • Beran, R. J. 1987. Prepivoting to reduce level error of confidence sets. Biometrica, 74, 457-468.
    • (1987) Biometrica , vol.74 , pp. 457-468
    • Beran, R.J.1
  • 10
    • 0032330296 scopus 로고    scopus 로고
    • Nonparametric comparison of mean axes
    • Beran, R. J. and Fisher, N. I. 1998. Nonparametric comparison of mean axes. Ann. Statist., 26, 472-493.
    • (1998) Ann. Statist , vol.26 , pp. 472-493
    • Beran, R.J.1    Fisher, N.I.2
  • 12
    • 0033323182 scopus 로고    scopus 로고
    • Recognition of planar objects using the density of affine shape
    • Berthilsson, R. and Heyden, A. 1999. Recognition of planar objects using the density of affine shape. Computer Vision and Image Understanding, 76, 135-145.
    • (1999) Computer Vision and Image Understanding , vol.76 , pp. 135-145
    • Berthilsson, R.1    Heyden, A.2
  • 14
    • 76849086044 scopus 로고    scopus 로고
    • Statistical analysis on manifolds: A nonparametric approach for inference on shape spaces
    • Bhattacharya, A. 2008b. Statistical analysis on manifolds: a nonparametric approach for inference on shape spaces. Sankhya, 70-A, part 2, 223-266.
    • (2008) Sankhya , vol.70 , pp. 223-266
    • Bhattacharya, A.1
  • 17
    • 85123460317 scopus 로고    scopus 로고
    • Statistical on manifolds with application to shape spaces
    • edited by N. S. Narasimha Sastry, T. S. S. R. K. Rao, M. Delampady and B. Rajeev. Indian Statistical Institute, Bangalore
    • Bhattacharya, A. and Bhattacharya, R. N. 2009. Statistical on manifolds with application to shape spaces. In Perspectives in Mathematical Sciences I: Probability and Mathematics, edited by N. S. Narasimha Sastry, T. S. S. R. K. Rao, M. Delampady and B. Rajeev. Indian Statistical Institute, Bangalore, 41-70.
    • (2009) Perspectives in Mathematical Sciences I: Probability and Mathematics , pp. 41-70
    • Bhattacharya, A.1    Bhattacharya, R.N.2
  • 18
    • 78651271665 scopus 로고    scopus 로고
    • Nonparametric Bayesian density estimation on manifolds with applications to planar shapes
    • Bhattacharya, A. and Dunson, D. 2010a. Nonparametric Bayesian density estimation on manifolds with applications to planar shapes. Biometrika, 97, 851-865.
    • (2010) Biometrika , vol.97 , pp. 851-865
    • Bhattacharya, A.1    Dunson, D.2
  • 20
    • 84863489936 scopus 로고    scopus 로고
    • Strong consistency of nonparametric Bayes density estimation on compact metric spaces
    • Bhattacharya, A. and Dunson, D. 2011. Strong consistency of nonparametric Bayes density estimation on compact metric spaces. Ann. Institute of Statistical Mathematics, 63.
    • (2011) Ann. Institute of Statistical Mathematics , pp. 63
    • Bhattacharya, A.1    Dunson, D.2
  • 21
    • 0000931301 scopus 로고
    • On the validity of the formal Edgeworth expansion
    • Bhattacharya, R. N. and Ghosh, J.K. 1978. On the validity of the formal Edgeworth expansion. Ann. Statist., 6, 434-451.
    • (1978) Ann. Statist , vol.6 , pp. 434-451
    • Bhattacharya, R.N.1    Ghosh, J.K.2
  • 22
    • 21144443869 scopus 로고    scopus 로고
    • Large sample theory of intrinsic and extrinsic sample means on manifolds
    • Bhattacharya, R. N. and Patrangenaru, V. 2003. Large sample theory of intrinsic and extrinsic sample means on manifolds. Ann. Statist., 31, 1-29.
    • (2003) Ann. Statist , vol.31 , pp. 1-29
    • Bhattacharya, R.N.1    Patrangenaru, V.2
  • 23
    • 23744472179 scopus 로고    scopus 로고
    • Large sample theory of intrinsic and extrinsic sample means on manifolds-II
    • Bhattacharya, R. N. and Patrangenaru, V. 2005. Large sample theory of intrinsic and extrinsic sample means on manifolds-II. Ann. Statist., 33, 1225-1259.
    • (2005) Ann. Statist , vol.33 , pp. 1225-1259
    • Bhattacharya, R.N.1    Patrangenaru, V.2
  • 25
    • 0039961981 scopus 로고
    • Second order and Lp-comparisons between the bootstrap and empirical Edgeworth expansion methodologies
    • Bhattacharya, R. N. and Qumsiyeh, M. 1989. Second order and Lp-comparisons between the bootstrap and empirical Edgeworth expansion methodologies. Ann. Statist., 17, 160-169.
    • (1989) Ann. Statist , vol.17 , pp. 160-169
    • Bhattacharya, R.N.1    Qumsiyeh, M.2
  • 27
    • 0042002380 scopus 로고
    • Refinements of the multidimensional central limit theorem and applications
    • Bhattacharya, R. N. 1977. Refinements of the multidimensional central limit theorem and applications. Ann. Probability, 5, 1-27.
    • (1977) Ann. Probability , vol.5 , pp. 1-27
    • Bhattacharya, R.N.1
  • 33
    • 0001199893 scopus 로고
    • An antipodally symmetric distribution on the sphere
    • Bingham, C. 1974. An antipodally symmetric distribution on the sphere. Ann. Statist., 2, 1201-1225.
    • (1974) Ann. Statist , vol.2 , pp. 1201-1225
    • Bingham, C.1
  • 35
    • 84972512610 scopus 로고
    • Size and shape spaces of landmark data (with discussion)
    • Bookstein, F. L. 1986. Size and shape spaces of landmark data (with discussion). Statistical Science, 1, 181-242.
    • (1986) Statistical Science , vol.1 , pp. 181-242
    • Bookstein, F.L.1
  • 36
    • 79957563017 scopus 로고
    • Principal warps: Thin plate splines and the decomposition of deformations
    • Bookstein, F. L. 1989. Principal warps: thin plate splines and the decomposition of deformations. Pattern Analysis and Machine Intelligence, 11, 567-585.
    • (1989) Pattern Analysis and Machine Intelligence , vol.11 , pp. 567-585
    • Bookstein, F.L.1
  • 39
    • 0001927006 scopus 로고    scopus 로고
    • Basic issues in the sensitive and specific detection in optic nerve head surface change within longitudinal LDT TopSS image: Introduction to the LSU experimental glaucoma (LEG) study
    • edited by H. G. Lemij and J. S. Shuman, Kugler Publications, The Hague, The Netherlands
    • Burgoyne, C. F., Thompson H.W., Mercante, D. E., and Amin, R. E. 2000. Basic issues in the sensitive and specific detection in optic nerve head surface change within longitudinal LDT TopSS image: Introduction to the LSU experimental glaucoma (LEG) study. In The Shape of Glaucoma, Quantitative Neural Imaging Techniques, edited by H. G. Lemij and J. S. Shuman, 1-37. Kugler Publications, The Hague, The Netherlands.
    • (2000) The Shape of Glaucoma, Quantitative Neural Imaging Techniques , pp. 1-37
    • Burgoyne, C.F.1    Thompson, H.W.2    Mercante, D.E.3    Amin, R.E.4
  • 41
    • 0002242942 scopus 로고
    • Valid asymptotic expansion for the likelihood ratio statistics and other pertubed chi-square variables
    • Chandra, T. and Ghosh, J. K. 1979. Valid asymptotic expansion for the likelihood ratio statistics and other pertubed chi-square variables. Sankhya, Ser. A., 41, 22-47.
    • (1979) Sankhya, Ser. A , vol.41 , pp. 22-47
    • Chandra, T.1    Ghosh, J.K.2
  • 45
    • 31544446609 scopus 로고    scopus 로고
    • A note on equivariant embeddings of Grassmannians
    • Dimitric, I. 1996. A note on equivariant embeddings of Grassmannians. Publ. Inst. Math (Beograd) (N.S.), 59, 131-137.
    • (1996) Publ. Inst. Math (Beograd) (N.S.) , vol.59 , pp. 131-137
    • Dimitric, I.1
  • 46
    • 0009638613 scopus 로고
    • Fortschritte der Gefugestatistik
    • Montashefte
    • Dimroth, E. 1963. Fortschritte der Gefugestatistik. Neues Jahrbuch der Mineralogie, Montashefte 13, 186-192.
    • (1963) Neues Jahrbuch der Mineralogie , vol.13 , pp. 186-192
    • Dimroth, E.1
  • 48
    • 0003375079 scopus 로고
    • Size and shape analysis of landmark data
    • Dryden, I. L. and Mardia, K. V. 1992. Size and shape analysis of landmark data. Biometrica, 79, 57-68.
    • (1992) Biometrica , vol.79 , pp. 57-68
    • Dryden, I.L.1    Mardia, K.V.2
  • 51
    • 57249090985 scopus 로고    scopus 로고
    • A multi-dimensional scaling approach to shape analysis
    • Dryden, I. L., Kume A., Le, H., andWood, A. T. A. 2008. A multi-dimensional scaling approach to shape analysis. Biometrika, 95 (4), 779-798.
    • (2008) Biometrika , vol.95 , Issue.4 , pp. 779-798
    • Dryden, I.L.1    Kume, A.2    Le, H.3    Wood, A.T.A.4
  • 53
    • 84878240434 scopus 로고    scopus 로고
    • Nonparametric Bayes regression and classification through mixtures of product kernels
    • Dunson, D. B. and Bhattacharya, A. 2010. Nonparametric Bayes regression and classification through mixtures of product kernels. Bayesian Statistics, 9, 145-164.
    • (2010) Bayesian Statistics , vol.9 , pp. 145-164
    • Dunson, D.B.1    Bhattacharya, A.2
  • 54
    • 0002344794 scopus 로고
    • Bootstrap methods: Another look at jackknife
    • Efron, B. 1979. Bootstrap methods: another look at jackknife. Ann. Statist., 1, 1-26.
    • (1979) Ann. Statist , vol.1 , pp. 1-26
    • Efron, B.1
  • 56
    • 85007912769 scopus 로고
    • Magnetostratigraphy in the Sydney Basin, SouthEastern Australia
    • Embleton, B. J. J. and McDonnell, K. L. 1980. Magnetostratigraphy in the Sydney Basin, SouthEastern Australia. J. Geomag. Geoelectr., 32, 304.
    • (1980) J. Geomag. Geoelectr , vol.32 , pp. 304
    • Embleton, B.J.J.1    McDonnell, K.L.2
  • 57
    • 84950937290 scopus 로고
    • Bayesian density-estimation and inference using mixtures
    • Escobar, M. D. and West, M. 1995. Bayesian density-estimation and inference using mixtures. J. Am. Statist. Assoc., 90, 577-588.
    • (1995) J. Am. Statist. Assoc , vol.90 , pp. 577-588
    • Escobar, M.D.1    West, M.2
  • 58
    • 0001120413 scopus 로고
    • A Bayesian analysis of some nonparametric problems
    • Ferguson, T. S. 1973. A Bayesian analysis of some nonparametric problems. Ann. Statist., 1, 209-230.
    • (1973) Ann. Statist , vol.1 , pp. 209-230
    • Ferguson, T.S.1
  • 59
    • 0000780135 scopus 로고
    • Prior distributions on spaces of probability measures
    • Ferguson, T. S. 1974. Prior distributions on spaces of probability measures. Ann. Statist., 2, 615-629.
    • (1974) Ann. Statist , vol.2 , pp. 615-629
    • Ferguson, T.S.1
  • 60
    • 0003520505 scopus 로고    scopus 로고
    • Texts in Statistical Science Series. Chapman & Hall, London
    • Ferguson, T. S. 1996. A Course in Large Sample Theory. Texts in Statistical Science Series. Chapman & Hall, London.
    • (1996) A Course in Large Sample Theory
    • Ferguson, T.S.1
  • 61
    • 0030327433 scopus 로고    scopus 로고
    • Improved pivotal methods for constructing confidence regions with directional data
    • Fisher, N. I., Hall, P., Jing, B., and Wood, A. T. A. 1996. Improved pivotal methods for constructing confidence regions with directional data. J. Amer. Statist. Assoc, 91, 1062-1070.
    • (1996) J. Amer. Statist. Assoc , vol.91 , pp. 1062-1070
    • Fisher, N.I.1    Hall, P.2    Jing, B.3    Wood, A.T.A.4
  • 65
    • 0000315591 scopus 로고
    • Lés élements aléatoires de nature quelconque dans un espace distanci é
    • Fréchet, M. 1948. Lés élements aléatoires de nature quelconque dans un espace distanci é. Ann. Inst. H. Poincaré, 10, 215-310.
    • (1948) Ann. Inst. H. Poincaré , vol.10 , pp. 215-310
    • Fréchet, M.1
  • 68
    • 0000142472 scopus 로고
    • Procrustes methods in the statistical analysis of shape (with discussion)
    • Goodall, C. R. 1991. Procrustes methods in the statistical analysis of shape (with discussion). J. Roy. Statist, Ser. B, 53, 285-339.
    • (1991) J. Roy. Statist, Ser. B , vol.53 , pp. 285-339
    • Goodall, C.R.1
  • 70
  • 71
    • 0040678209 scopus 로고    scopus 로고
    • Mean location and sample mean location on manifolds: Asymptotics, tests, confidence regions
    • Hendriks, H. and Landsman, Z. 1998. Mean location and sample mean location on manifolds: asymptotics, tests, confidence regions. J. Multivariate Anal., 67, 227-243.
    • (1998) J. Multivariate Anal , vol.67 , pp. 227-243
    • Hendriks, H.1    Landsman, Z.2
  • 73
    • 0012107178 scopus 로고
    • Über den Begriff der vollständigen differentialgeometrischen Flache
    • Hopf, H., and Rinow, W. 1931. Über den Begriff der vollständigen differentialgeometrischen Flache. Comment. Math. Helv., 3, 209-225.
    • (1931) Comment. Math. Helv , vol.3 , pp. 209-225
    • Hopf, H.1    Rinow, W.2
  • 74
    • 0038539987 scopus 로고
    • Some considerations in multivariate allometry
    • Hopkins, J. W. 1966. Some considerations in multivariate allometry. Biometrics, 22, 747-760.
    • (1966) Biometrics , vol.22 , pp. 747-760
    • Hopkins, J.W.1
  • 75
    • 77949381107 scopus 로고    scopus 로고
    • Intrinsic shape analysis: Geodesic PCA for Riemannian manifolds modulo isometric Lie group actions (with discussions)
    • Huckemann, S., Hotz, T., and Munk, A. 2010. Intrinsic shape analysis: geodesic PCA for Riemannian manifolds modulo isometric Lie group actions (with discussions). Statist. Sinica, 20, 1-100.
    • (2010) Statist. Sinica , vol.20 , pp. 1-100
    • Huckemann, S.1    Hotz, T.2    Munk, A.3
  • 76
    • 84883298850 scopus 로고
    • Paleomagnetism of the Narrabeen Chocolate Shale and the Tasmanian Dolerite
    • Irving, E. 1963. Paleomagnetism of the Narrabeen Chocolate Shale and the Tasmanian Dolerite. J. Geophys. Res., 68, 2282-2287.
    • (1963) J. Geophys. Res , vol.68 , pp. 2282-2287
    • Irving, E.1
  • 78
    • 0036661094 scopus 로고    scopus 로고
    • Dirichlet prior sieves in finite normal mixtures
    • Ishwaran, H. and Zarepour, M. 2002. Dirichlet prior sieves in finite normal mixtures. Statistica Sinica, 12, 941-963.
    • (2002) Statistica Sinica , vol.12 , pp. 941-963
    • Ishwaran, H.1    Zarepour, M.2
  • 79
    • 0001099762 scopus 로고
    • Measures and models for angular correlation and angular-linear correlation
    • Johnson, R. A. and Wehrly, T. 1977. Measures and models for angular correlation and angular-linear correlation. J. Royal Stat. Soc. B, 39, 222-229.
    • (1977) J. Royal Stat. Soc. B , vol.39 , pp. 222-229
    • Johnson, R.A.1    Wehrly, T.2
  • 80
    • 84980162923 scopus 로고
    • Riemannian center of mas and mollifier smoothing
    • Karcher, H. 1977. Riemannian center of mas and mollifier smoothing. Comm. Pure Appl. Math., 30, 509-554.
    • (1977) Comm. Pure Appl. Math , vol.30 , pp. 509-554
    • Karcher, H.1
  • 81
    • 0000291561 scopus 로고
    • The diffusion of shape
    • Kendall, D. G. 1977. The diffusion of shape. Adv. Appl. Probab., 9, 428-430.
    • (1977) Adv. Appl. Probab , vol.9 , pp. 428-430
    • Kendall, D.G.1
  • 82
    • 0002432238 scopus 로고
    • Shape manifolds, procrustean metrics, and complex projective spaces
    • Kendall, D. G. 1984. Shape manifolds, procrustean metrics, and complex projective spaces. Bull. London Math. Soc., 16, 81-121.
    • (1984) Bull. London Math. Soc , vol.16 , pp. 81-121
    • Kendall, D.G.1
  • 83
    • 84972538798 scopus 로고
    • A survey of the statistical theory of shape
    • Kendall, D. G. 1989. A survey of the statistical theory of shape. Statist. Sci., 4, 87-120.
    • (1989) Statist. Sci , vol.4 , pp. 87-120
    • Kendall, D.G.1
  • 85
    • 84960586494 scopus 로고
    • Probability, convexity, and harmonic maps with small image I: Uniqueness and fine existence
    • Kendall, W. S. 1990. Probability, convexity, and harmonic maps with small image I: uniqueness and fine existence. Proc. London Math. Soc, 61, 371-406.
    • (1990) Proc. London Math. Soc , vol.61 , pp. 371-406
    • Kendall, W.S.1
  • 86
    • 0003168245 scopus 로고
    • New directions in shape analysis
    • edited by K. V. Mardia. Wiley, Chichester
    • Kent, J. T. 1992. New directions in shape analysis. In The Art of Statistical Science, edited by K. V. Mardia. Wiley, Chichester.
    • (1992) The Art of Statistical Science
    • Kent, J.T.1
  • 87
    • 0001034467 scopus 로고
    • The complex Bingham distribution and shape analysis
    • Kent, J. T. 1994. The complex Bingham distribution and shape analysis. J. Roy. Statist. Soc. Ser. B, 56, 285-299.
    • (1994) J. Roy. Statist. Soc. Ser. B , vol.56 , pp. 285-299
    • Kent, J.T.1
  • 90
    • 0011473468 scopus 로고
    • Two term Edgeworth expansion and bootstrap approximation for multivariate studentized M-estimators
    • Lahiri, S. N. 1994. Two term Edgeworth expansion and bootstrap approximation for multivariate studentized M-estimators. Sankhya, Ser. A., 56, 201-226.
    • (1994) Sankhya, Ser. A , vol.56 , pp. 201-226
    • Lahiri, S.N.1
  • 91
    • 0035360021 scopus 로고    scopus 로고
    • Locating Fréchet means with application to shape spaces
    • Le, H. 2001. Locating Fréchet means with application to shape spaces. Adv. Appl.Prob., 33, 324-338.
    • (2001) Adv. Appl.Prob , vol.33 , pp. 324-338
    • Le, H.1
  • 92
    • 0001786903 scopus 로고
    • Convergence of estimates under dimensionality restrictions
    • LeCam, L. 1973. Convergence of estimates under dimensionality restrictions. Ann. Statist., 1, 38-53.
    • (1973) Ann. Statist , vol.1 , pp. 38-53
    • LeCam, L.1
  • 93
    • 3042945222 scopus 로고    scopus 로고
    • Nonparametric curve estimation on Stiefel manifolds
    • Lee, J. and Ruymgaart, F. H. 1996. Nonparametric curve estimation on Stiefel manifolds. J. Nonparametri. Statist., 6, 57-68.
    • (1996) J. Nonparametri. Statist , vol.6 , pp. 57-68
    • Lee, J.1    Ruymgaart, F.H.2
  • 95
    • 0026352899 scopus 로고
    • Some comments on coordinate free and scale invariant methods in morphometrics
    • Lele, S. 1991. Some comments on coordinate free and scale invariant methods in morphometrics. Amer. J. Physi. Anthropology, 85, 407-418.
    • (1991) Amer. J. Physi. Anthropology , vol.85 , pp. 407-418
    • Lele, S.1
  • 96
    • 0027427057 scopus 로고
    • Euclidean distance matrix analysis (EDMA): Estimation of mean form and mean form difference
    • Lele, S. 1993. Euclidean distance matrix analysis (EDMA): estimation of mean form and mean form difference. Math. Geology, 25, 573-602.
    • (1993) Math. Geology , vol.25 , pp. 573-602
    • Lele, S.1
  • 97
    • 0002438234 scopus 로고
    • Euclidean distance matrix analysis: A statistical review
    • edited by K. V. Mardia and C. A. Gill. University of Leeds Press, Leeds
    • Lele, S. and Cole, T. M. 1995. Euclidean distance matrix analysis: a statistical review. In Current Issues in Statistical Shape Analysis, edited by K. V. Mardia and C. A. Gill. University of Leeds Press, Leeds, 49-53.
    • (1995) Current Issues in Statistical Shape Analysis , pp. 49-53
    • Lele, S.1    Cole, T.M.2
  • 98
    • 0018945179 scopus 로고
    • A non-homogeneous anthropometric scaling method based on finite element principles
    • Lewis, J. L., Lew, W. D., and Zimmerman, J. R. 1980. A non-homogeneous anthropometric scaling method based on finite element principles. J. Biomech., 13, 815-824.
    • (1980) J. Biomech , vol.13 , pp. 815-824
    • Lewis, J.L.1    Lew, W.D.2    Zimmerman, J.R.3
  • 99
    • 0001876649 scopus 로고
    • On a class of Bayesian nonparametric estimates. 1. Density estimates
    • Lo, A. Y. 1984. On a class of Bayesian nonparametric estimates. 1. Density estimates. Ann. Statist., 12, 351-357.
    • (1984) Ann. Statist , vol.12 , pp. 351-357
    • Lo, A.Y.1
  • 101
    • 23744439307 scopus 로고    scopus 로고
    • Directions and projective shapes
    • Mardia, K. V. and Patrangenaru, V. 2005. Directions and projective shapes. Ann. Statist., 33, 1666-1699.
    • (2005) Ann. Statist , vol.33 , pp. 1666-1699
    • Mardia, K.V.1    Patrangenaru, V.2
  • 102
    • 33646511533 scopus 로고    scopus 로고
    • Complex elliptic distributions with applications to shape analysis
    • Micheas, A. C., Dey, D. K., andMardia, K. V. 2006. Complex elliptic distributions with applications to shape analysis. J. Statist. Plan. and Inf., 136, 2961-2982.
    • (2006) J. Statist. Plan. And Inf , vol.136 , pp. 2961-2982
    • Micheas, A.C.1    Dey, D.K.2    Mardia, K.V.3
  • 105
    • 21344435876 scopus 로고
    • Intrinsic analysis of statistical estimation
    • Oller, J. M. and Corcuear, J. M. 1995. Intrinsic analysis of statistical estimation. Ann. Statist., 23, 1562-1581.
    • (1995) Ann. Statist , vol.23 , pp. 1562-1581
    • Oller, J.M.1    Corcuear, J.M.2
  • 108
    • 70350117082 scopus 로고    scopus 로고
    • A nonparametric approach to 3D shape analysis from digital camera images-I
    • Patrangenaru, V., Liu, X., and Sagathadasa, S. 2010. A nonparametric approach to 3D shape analysis from digital camera images-I. J. Multivariate Analysis, 101, 11-31.
    • (2010) J. Multivariate Analysis , vol.101 , pp. 11-31
    • Patrangenaru, V.1    Liu, X.2    Sagathadasa, S.3
  • 109
    • 0007188294 scopus 로고
    • A distribution-free method of interval estimation for unsigned directional data
    • Prentice, M. J. 1984. A distribution-free method of interval estimation for unsigned directional data. Biometrica, 71, 147-154.
    • (1984) Biometrica , vol.71 , pp. 147-154
    • Prentice, M.J.1
  • 110
    • 21344436733 scopus 로고
    • Shape changes in the plane for landmark data
    • Prentice, M. J. and Mardia, K. V. 1995. Shape changes in the plane for landmark data. Ann. Statist., 23, 1960-1974.
    • (1995) Ann. Statist , vol.23 , pp. 1960-1974
    • Prentice, M.J.1    Mardia, K.V.2
  • 113
    • 0000720609 scopus 로고
    • A constructive definition of Dirichlet priors
    • Sethuraman, J. 1994. A constructive definition of Dirichlet priors. Statist. Sinica, 4, 639-50.
    • (1994) Statist. Sinica , vol.4 , pp. 639-650
    • Sethuraman, J.1
  • 114
    • 0000824767 scopus 로고
    • On the asymptotic accuracy of Efron's bootstrap
    • Singh, K. 1981. On the asymptotic accuracy of Efron's bootstrap. Ann. Statist., 9, 1187-1195.
    • (1981) Ann. Statist , vol.9 , pp. 1187-1195
    • Singh, K.1
  • 116
    • 0343408280 scopus 로고
    • Depth-computations from polihedral images
    • Image and Vision Computing, edited by G. Sandimi. Springer, New York, 378-386. Also in
    • Sparr, G. 1992. Depth-computations from polihedral images. In Proc. 2nd European Conf. on Computer Vision, edited by G. Sandimi. Springer, New York, 378-386. Also in Image and Vision Computing, 10, 683-688.
    • (1992) Proc. 2nd European Conf. On Computer Vision , vol.10 , pp. 683-688
    • Sparr, G.1
  • 117
    • 0015306404 scopus 로고
    • The mathematics of size and shape
    • Sprent, P. 1972. The mathematics of size and shape. Biometrics., 28, 23-37.
    • (1972) Biometrics , vol.28 , pp. 23-37
    • Sprent, P.1
  • 118
    • 84981986782 scopus 로고
    • Estimation of distances and variances in Bookstein's landmark model
    • Stoyan, D. 1990. Estimation of distances and variances in Bookstein's landmark model. Biometrical J., 32, 843-849.
    • (1990) Biometrical J , vol.32 , pp. 843-849
    • Stoyan, D.1
  • 120
    • 0000251057 scopus 로고
    • Uber die "Ganzzaligkeit" der atomgewichte und verwandte fragen
    • von Mises, R. 1918. Uber die "Ganzzaligkeit" der atomgewichte und verwandte fragen. Phys. Z., 19, 490-500.
    • (1918) Phys. Z , vol.19 , pp. 490-500
    • von Mises, R.1
  • 121
    • 0001402662 scopus 로고
    • Equatorial distributions on a sphere
    • Watson, G. S. 1965. Equatorial distributions on a sphere. Biometrica, 52, 193-201.
    • (1965) Biometrica , vol.52 , pp. 193-201
    • Watson, G.S.1
  • 122
    • 0004129207 scopus 로고
    • University Arkansas Lecture Notes in the Mathematical Sciences, Wiley, New York
    • Watson, G. S. 1983. Statistics on Spheres. Vol. 6. University Arkansas Lecture Notes in the Mathematical Sciences, Wiley, New York.
    • (1983) Statistics on Spheres , vol.6
    • Watson, G.S.1
  • 123
    • 68649119440 scopus 로고    scopus 로고
    • Kullback-Liebler property of kernel mixture priors in Bayesian density estimation
    • Wu, Y. and Ghosal, S. 2008. Kullback-Liebler property of kernel mixture priors in Bayesian density estimation. Electronic J. of Statist., 2, 298-331.
    • (2008) Electronic J. Of Statist , vol.2 , pp. 298-331
    • Wu, Y.1    Ghosal, S.2
  • 124
    • 77956773597 scopus 로고    scopus 로고
    • The L1-consistency of Dirichlet mixtures in multivariate Bayesian density estimation on Bayes procedures
    • Wu, Y. and Ghosal, S. 2010. The L1-consistency of Dirichlet mixtures in multivariate Bayesian density estimation on Bayes procedures. J. Mutivar. Analysis, 101, 2411-2419.
    • (2010) J. Mutivar. Analysis , vol.101 , pp. 2411-2419
    • Wu, Y.1    Ghosal, S.2
  • 125
    • 78650906670 scopus 로고    scopus 로고
    • Nonparametric Hidden Markov Models with application to the analysis of copy-number-variation in mammalian genomes
    • Yau, C., Papaspiliopoulos, O., Roberts, G. O., and Holmes, C. 2011. Nonparametric Hidden Markov Models with application to the analysis of copy-number-variation in mammalian genomes. J. Roy. Statist. Soc. B, 73, 37-57.
    • (2011) J. Roy. Statist. Soc. B , vol.73 , pp. 37-57
    • Yau, C.1    Papaspiliopoulos, O.2    Roberts, G.O.3    Holmes, C.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.