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Volumn 95, Issue 2, 2005, Pages 410-430

Noncentral quadratic forms of the skew elliptical variables

Author keywords

Cochran's Theorem; Normal distribution; Quadratic forms; Skew elliptical distribution; Skew normal distribution

Indexed keywords


EID: 22944443892     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmva.2004.08.009     Document Type: Article
Times cited : (9)

References (19)
  • 2
    • 0001428349 scopus 로고
    • Cochran's Theorem for elliptically contoured distributions
    • T.W. Anderson K.T. Fang Cochran's Theorem for elliptically contoured distributions Sankhyā A 49 1987 305-315
    • (1987) Sankhyā A , vol.49 , pp. 305-315
    • Anderson, T.W.1    Fang, K.T.2
  • 3
    • 0009127785 scopus 로고
    • Cochran's Theorem, rank additivity and tripotent matrices
    • G. Kallianpur P.R. Krishnaiah J.K. Ghosh (Eds.) North-Holland Publishing Company Amsterdam
    • T.W. Anderson G.P.H. Styan Cochran's Theorem, rank additivity and tripotent matrices in: G. Kallianpur P.R. Krishnaiah J.K. Ghosh (Eds.) Statistics and Probability: Essays in Honor of C.R. Rao 1982 North-Holland Publishing Company Amsterdam 1-23
    • (1982) Statistics and Probability: Essays in Honor of C.R. Rao , pp. 1-23
    • Anderson, T.W.1    Styan, G.P.H.2
  • 4
    • 0002019758 scopus 로고    scopus 로고
    • Hidden truncation models
    • B.C. Arnold R.J. Beaver Hidden truncation models Sankhyā 62 2000 23-25
    • (2000) Sankhyā , vol.62 , pp. 23-25
    • Arnold, B.C.1    Beaver, R.J.2
  • 5
    • 0001417140 scopus 로고    scopus 로고
    • The multivariate skew-normal distribution
    • A. Azzalini A. Dalla Valle The multivariate skew-normal distribution Biometrika 83 1996 715-726
    • (1996) Biometrika , vol.83 , pp. 715-726
    • Azzalini, A.1    Dalla Valle, A.2
  • 6
    • 0001122047 scopus 로고    scopus 로고
    • Statistical applications of the multivariate skew normal distribution
    • A. Azzalini A. Capitanio Statistical applications of the multivariate skew normal distribution J. Roy. Statist. Soc. B 61 1999 579-602
    • (1999) J. Roy. Statist. Soc. B , vol.61 , pp. 579-602
    • Azzalini, A.1    Capitanio, A.2
  • 7
    • 0035178888 scopus 로고    scopus 로고
    • A general class of multivariate skew-elliptical distributions
    • M.D. Branco D.K. Dey A general class of multivariate skew-elliptical distributions J. Multivariate Anal. 79 2001 99-113
    • (2001) J. Multivariate Anal. , vol.79 , pp. 99-113
    • Branco, M.D.1    Dey, D.K.2
  • 9
    • 0011657643 scopus 로고
    • A history of the development of Craig's Theorem
    • M.F. Driscoll W.R. Gundberg A history of the development of Craig's Theorem Amer. Statist. 40 1986 65-70
    • (1986) Amer. Statist. , vol.40 , pp. 65-70
    • Driscoll, M.F.1    Gundberg, W.R.2
  • 10
    • 51649149637 scopus 로고
    • Distributions of quadratic forms and non-central Cochran's Theorem
    • J. Fan Distributions of quadratic forms and non-central Cochran's Theorem Acta Math. Sinica 2 1986 185-198
    • (1986) Acta Math. Sinica , vol.2 , pp. 185-198
    • Fan, J.1
  • 11
    • 0344198499 scopus 로고    scopus 로고
    • The skew elliptical distributions and their quadratic forms
    • B.Q. Fang The skew elliptical distributions and their quadratic forms J. Multivariate Anal. 87 2003 298-314
    • (2003) J. Multivariate Anal. , vol.87 , pp. 298-314
    • Fang, B.Q.1
  • 13
    • 0001168061 scopus 로고    scopus 로고
    • Moments of Skew-normal random vectors and their quadratic forms
    • M.G. Genton L. He X. Liu Moments of Skew-normal random vectors and their quadratic forms Statist. Probab. Lett. 51 2001 319-325
    • (2001) Statist. Probab. Lett. , vol.51 , pp. 319-325
    • Genton, M.G.1    He, L.2    Liu, X.3
  • 14
    • 31244437976 scopus 로고    scopus 로고
    • Reliability studies of the skew-normal distribution and its application to a strength-stress model
    • R.C. Gupta N. Brown Reliability studies of the skew-normal distribution and its application to a strength-stress model Commun. Statist. Theory Methods 30 2001 2427-2445
    • (2001) Commun. Statist. Theory Methods , vol.30 , pp. 2427-2445
    • Gupta, R.C.1    Brown, N.2
  • 15
    • 0000104482 scopus 로고
    • On the stochastic independence of two second-degree polynomial statistics in normally distributed variates
    • R.G. Laha On the stochastic independence of two second-degree polynomial statistics in normally distributed variates Ann. Math. Statist. 27 1956 790-796
    • (1956) Ann. Math. Statist. , vol.27 , pp. 790-796
    • Laha, R.G.1
  • 16
    • 0010299276 scopus 로고    scopus 로고
    • Quadratic forms of skew-norm random vectors
    • N. Loperfido Quadratic forms of skew-norm random vectors Statist. Probab. Lett. 54 2001 381-387
    • (2001) Statist. Probab. Lett. , vol.54 , pp. 381-387
    • Loperfido, N.1
  • 17
    • 2942611661 scopus 로고
    • Measures of multivariate skewness and kurtosis with applications
    • K.V. Mardia Measures of multivariate skewness and kurtosis with applications Biometrika 57 1970 519-530
    • (1970) Biometrika , vol.57 , pp. 519-530
    • Mardia, K.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.