메뉴 건너뛰기




Volumn 136, Issue 9, 2006, Pages 2961-2982

Complex elliptical distributions with application to shape analysis

Author keywords

Bayesian estimation; Complex elliptical family of distributions; Complex Watson shape distribution; Credible set; Modal shape; Shape distributions

Indexed keywords


EID: 33646511533     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2005.01.002     Document Type: Article
Times cited : (29)

References (27)
  • 4
    • 0030095282 scopus 로고    scopus 로고
    • Biometrics, bioinformatics and the morphometric synthesis
    • Bookstein F.L. Biometrics, bioinformatics and the morphometric synthesis. Bull. Math. Biol. 58 (1996) 313-365
    • (1996) Bull. Math. Biol. , vol.58 , pp. 313-365
    • Bookstein, F.L.1
  • 5
    • 0442325081 scopus 로고    scopus 로고
    • Nonconjugate Bayesian estimation of covariance matrices and its use in hierarchical models
    • Daniels M.J., and Kass R.E. Nonconjugate Bayesian estimation of covariance matrices and its use in hierarchical models. Journal of the American Statistical Society 94 (1999) 1254-1263
    • (1999) Journal of the American Statistical Society , vol.94 , pp. 1254-1263
    • Daniels, M.J.1    Kass, R.E.2
  • 8
    • 33646507374 scopus 로고    scopus 로고
    • Eaton, M.L., 1977. N-Dimensional versions of some symmetric univariate distributions. Tech. Rept. No. 288, University of Minnesota.
  • 9
    • 0033164043 scopus 로고    scopus 로고
    • Bayesian statistical inference on elliptical matrix distributions
    • Fang K.T., and Li R. Bayesian statistical inference on elliptical matrix distributions. J. Multivariate Analysis 70 (1999) 66-85
    • (1999) J. Multivariate Analysis , vol.70 , pp. 66-85
    • Fang, K.T.1    Li, R.2
  • 10
    • 33646520705 scopus 로고    scopus 로고
    • Fang, K.T., Zhang, Y.T., 1990. Generalized Multivariate Analysis. Springer, Berlin, Science Press, Beijing.
  • 13
    • 0001248728 scopus 로고
    • Distribution theory of spherical distributions and a location-scale parameter generalization
    • Kelker D. Distribution theory of spherical distributions and a location-scale parameter generalization. Sankhya A 32 (1970) 419-430
    • (1970) Sankhya A , vol.32 , pp. 419-430
    • Kelker, D.1
  • 14
    • 0000291561 scopus 로고
    • The diffusion of shape
    • Kendall D.G. The diffusion of shape. Adv. Appl. Probab. 9 (1977) 428-430
    • (1977) Adv. Appl. Probab. , vol.9 , pp. 428-430
    • Kendall, D.G.1
  • 15
    • 84972538798 scopus 로고    scopus 로고
    • Kendall, D.G., 1989. A survey of the statistical theory of shape. Stat. Sci. 4, 87-120.
  • 16
    • 0001034467 scopus 로고
    • The complex Bingham distribution and shape analysis
    • Kent J.T. The complex Bingham distribution and shape analysis. J. Royal Statist. Soc. Ser. B 56 (1994) 285-299
    • (1994) J. Royal Statist. Soc. Ser. B , vol.56 , pp. 285-299
    • Kent, J.T.1
  • 18
    • 0000863729 scopus 로고
    • Multivariate distributions at a Cross Road
    • Kotz S. Multivariate distributions at a Cross Road. Statist. Distributions in Sci. Work. 1 (1975) 247-270
    • (1975) Statist. Distributions in Sci. Work. , vol.1 , pp. 247-270
    • Kotz, S.1
  • 19
    • 0001063125 scopus 로고
    • Complex elliptically symmetric distributions
    • Krishnaiah P.R., and Lin J. Complex elliptically symmetric distributions. Commun. Stat. A Theor. 15 (1986) 3693-3718
    • (1986) Commun. Stat. A Theor. , vol.15 , pp. 3693-3718
    • Krishnaiah, P.R.1    Lin, J.2
  • 20
    • 0033478710 scopus 로고    scopus 로고
    • The complex Watson distribution and shape analysis
    • Mardia K.V., and Dryden I.L. The complex Watson distribution and shape analysis. J. Royal Statist. Soc. Ser. B 61 (1999) 913-926
    • (1999) J. Royal Statist. Soc. Ser. B , vol.61 , pp. 913-926
    • Mardia, K.V.1    Dryden, I.L.2
  • 21
    • 33646524142 scopus 로고    scopus 로고
    • Micheas, A.C., Dey, D.K., 2003. Shape classification procedures with applications. Proceedings of the Section on Bayesian Statistical Science, American Statistical Association, San Francisco, 2003.
  • 22
    • 17444401469 scopus 로고    scopus 로고
    • Modeling shape distributions and inferences for assessing differences in shapes
    • Micheas A.C., and Dey D.K. Modeling shape distributions and inferences for assessing differences in shapes. J. Multivariate Anal. 92 (2005) 257-280
    • (2005) J. Multivariate Anal. , vol.92 , pp. 257-280
    • Micheas, A.C.1    Dey, D.K.2
  • 25
    • 38249021635 scopus 로고
    • A generalization of the Wishart distribution for the elliptical model and its moments for the multivariate t model
    • Sutradhar B.C., and Ali M.M. A generalization of the Wishart distribution for the elliptical model and its moments for the multivariate t model. J. Multivariate Anal. 29 (1989) 155-162
    • (1989) J. Multivariate Anal. , vol.29 , pp. 155-162
    • Sutradhar, B.C.1    Ali, M.M.2
  • 26
    • 33646500180 scopus 로고    scopus 로고
    • Thompson, D.W., 1917. On growth and form. Cambridge Encyclopedia.
  • 27
    • 0001402662 scopus 로고
    • Equatorial distributions on a sphere
    • Watson G.S. Equatorial distributions on a sphere. Biometrika 52 (1965) 193-201
    • (1965) Biometrika , vol.52 , pp. 193-201
    • Watson, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.