메뉴 건너뛰기




Volumn 33, Issue 6, 2005, Pages 2957-2966

Sobolev tests of goodness of fit of distributions on compact riemannian manifolds

Author keywords

Consistency; Invariance; Riemannian manifolds; Uniformity; Weighted empirical distribution

Indexed keywords


EID: 33644883027     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053605000000697     Document Type: Article
Times cited : (22)

References (17)
  • 1
    • 0000121741 scopus 로고
    • Exponential models for directional data
    • MR0550142
    • BERAN, R. (1979). Exponential models for directional data. Ann. Statist. 7 1162-1178. MR0550142
    • (1979) Ann. Statist. , vol.7 , pp. 1162-1178
    • Beran, R.1
  • 2
    • 84985619023 scopus 로고
    • Goodness-of-fit and discordancy tests for samples from the Watson distribution on the sphere
    • MR0847957
    • BEST, D. J. and 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. MR0847957
    • (1986) Austral. J. Statist. , vol.28 , pp. 13-31
    • Best, D.J.1    Fisher, N.I.2
  • 3
    • 0030694434 scopus 로고    scopus 로고
    • Smooth tests of goodness-of-fit for directional and axial data
    • MR1441467
    • BOULERICE, B. and DUCHARME, G. R. (1997). Smooth tests of goodness-of-fit for directional and axial data. J. Multivariate Anal. 60 154-175. MR1441467
    • (1997) J. Multivariate Anal. , vol.60 , pp. 154-175
    • Boulerice, B.1    Ducharme, G.R.2
  • 4
    • 0000351907 scopus 로고
    • Orientation statistics
    • MR0345334
    • DOWNS, T. D. (1972). Orientation statistics. Biometrika 59 665-676. MR0345334
    • (1972) Biometrika , vol.59 , pp. 665-676
    • Downs, T.D.1
  • 5
    • 33644913438 scopus 로고
    • Statistical methods for vector-cardiogram orientations
    • (I. Huffman, R. I. Hamby and E. Glassman, eds.) North-Holland, Amsterdam
    • DOWNS, T. D., LIEBMAN, J. and MACKAY, W. (1971). Statistical methods for vector-cardiogram orientations. In Vectorcardiography 2: Proc. XIth International Symposium on Vectorcardiography (I. Huffman, R. I. Hamby and E. Glassman, eds.) 216-222. North-Holland, Amsterdam. Data available at www.mcs.st-andrews.ac.uk/~pej/vcg.html.
    • (1971) Vectorcardiography 2: Proc. XIth International Symposium on Vectorcardiography , pp. 216-222
    • Downs, T.D.1    Liebman, J.2    Mackay, W.3
  • 6
    • 84985560901 scopus 로고
    • Goodness-of-fit tests for Fisher's distribution on the sphere
    • MR0766615
    • FISHER, N. I. and BEST, D. J. (1984). Goodness-of-fit tests for Fisher's distribution on the sphere. Austral. J. Statist. 26 142-150. MR0766615
    • (1984) Austral. J. Statist. , vol.26 , pp. 142-150
    • Fisher, N.I.1    Best, D.J.2
  • 7
    • 0000861689 scopus 로고
    • Invariant tests for uniformity on compact Riemannian manifolds based on Sobolev norms
    • MR0388663
    • GINÉ, M. E. (1975). Invariant tests for uniformity on compact Riemannian manifolds based on Sobolev norms. Ann. Statist. 3 1243-1266. MR0388663
    • (1975) Ann. Statist. , vol.3 , pp. 1243-1266
    • Giné, M.E.1
  • 8
    • 0041738902 scopus 로고    scopus 로고
    • Modifications of the Rayleigh and Bingham tests for uniformity of directions
    • MR1838711
    • JUPP, P. E. (2001). Modifications of the Rayleigh and Bingham tests for uniformity of directions. J. Multivariate Anal. 77 1-20. MR1838711
    • (2001) J. Multivariate Anal. , vol.77 , pp. 1-20
    • Jupp, P.E.1
  • 9
    • 0013002704 scopus 로고
    • Sobolev tests for symmetry of directional data
    • MR0720267
    • JUPP, P. E. and SPURR, B. D. (1983). Sobolev tests for symmetry of directional data. Ann. Statist. 11 1225-1231. MR0720267
    • (1983) Ann. Statist. , vol.11 , pp. 1225-1231
    • Jupp, P.E.1    Spurr, B.D.2
  • 10
    • 0039621752 scopus 로고
    • Sobolev tests for independence of directions
    • MR0803763
    • JUPP, P. E. and SPURR, B. D. (1985). Sobolev tests for independence of directions. Ann. Statist. 13 1140-1155. MR0803763
    • (1985) Ann. Statist. , vol.13 , pp. 1140-1155
    • Jupp, P.E.1    Spurr, B.D.2
  • 11
    • 0002745702 scopus 로고
    • The Fisher-Bingham distribution on the sphere
    • MR0655376
    • KENT, J. T. (1982). The Fisher-Bingham distribution on the sphere. J. Roy. Statist. Soc. Ser. B 44 71-80. MR0655376
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 71-80
    • Kent, J.T.1
  • 12
    • 0002959565 scopus 로고
    • The von Mises-Fisher matrix distribution in orientation statistics
    • MR0494687
    • KHATRI, C. G. and MARDIA, K. V. (1977). The von Mises-Fisher matrix distribution in orientation statistics. J. Roy. Statist. Soc. Ser. B 39 95-106. MR0494687
    • (1977) J. Roy. Statist. Soc. Ser. B , vol.39 , pp. 95-106
    • Khatri, C.G.1    Mardia, K.V.2
  • 13
    • 33644889950 scopus 로고
    • A goodness-of-fit test for the von Mises-Fisher distribution
    • MR0745218
    • MARDIA, K. V., HOLMES, D. and KENT, J. T. (1984). A goodness-of-fit test for the von Mises-Fisher distribution. J. Roy. Statist. Soc. Ser. B 46 72-78. MR0745218
    • (1984) J. Roy. Statist. Soc. Ser. B , vol.46 , pp. 72-78
    • Mardia, K.V.1    Holmes, D.2    Kent, J.T.3
  • 15
    • 0012991211 scopus 로고
    • On invariant tests of uniformity for directions and orientations
    • MR0458721
    • PRENTICE, M. J. (1978). On invariant tests of uniformity for directions and orientations. Ann. Statist. 6 169-176. MR0458721
    • (1978) Ann. Statist. , vol.6 , pp. 169-176
    • Prentice, M.J.1
  • 17
    • 24944458292 scopus 로고
    • Permutation tests for directional data
    • MR0536498
    • WELLNER, J. A. (1979). Permutation tests for directional data. Ann. Statist. 7 929-943. MR0536498
    • (1979) Ann. Statist. , vol.7 , pp. 929-943
    • Wellner, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.