The skew elliptical distributions and their quadratic forms

Journal of Multivariate Analysis

Volumn 87, Issue 2, 2003, Pages 298-314

  Fang, B Q ^a  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Fisher cochran theorem; Moment generating function; Normal distribution; Skewness; Spherical distribution

Indexed keywords

EID: 0344198499     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0047-259X(03)00054-X     Document Type: Article

References (12)

1. T.W. Anderson, K.T. Fang, Cochran's Theorem for elliptically contoured distributions, Sankhyā A 49 (1987) 305-315.
2. B.C. Arnold, R.J. Beaver, The skew-Cauchy distribution, Statist. Probab. Lett. 49 (2000) 285-290.
3. B.C. Arnold, R.J. Beaver, Hidden truncation models, Sankhyā A 62 (2000) 23-35.
4. A. Azzalini, A, Capitanio, Statistical applications of the multivariate skew normal distribution, J. Roy. Statist. Soc. B. 61 (1999) 579-602.
5. A. Azzalini, A. Dalla Valle, The multivariate skew-normal distribution, Biometrika 83 (1996) 715-726.
6. M.D. Branco, D.K. Dey, A general class of multivariate skew-elliptical distributions, J. Multivariate Anal. 79 (2001) 99-113.
7. K.T. Fang, S. Kotz, K.W. Ng, Symmetric Multivariate and Related Distributions, Chapman & Hall, London, New York, 1990.
8. M.G. Genton, L. He, X. Liu, Moments of skew-normal random vectors and their quadratic forms, Statist. Probab. Lett. 51 (2001) 319-325.
9. R.D. Gupta, D. St. P. Richards, Multivariate Lionville distributions, J. Multivariate Anal. 23 (1987) 233-256.
10. N.L. Johnson, S. Kotz, Distributions in Statistics: Continuous Multivariate Distributions, Wiley, New York, 1972.
11. C.R. Rao, Linear Statistical Inference, 2nd Edition, Wiley, New York, 1973.
12. Y. Zhang, K.T. Fang, Introduction to Multivariate Analysis, Science Press, Beijing, 1982.