Sample mean, covariance and T2 statistic of the skew elliptical model

Journal of Multivariate Analysis

Volumn 97, Issue 7, 2006, Pages 1675-1690

  Fang, B Q ^a  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

F distribution; Normal distribution; Robustness; Skew elliptical distribution; Skew normal distribution

Indexed keywords

EID: 33646766818     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2005.10.007     Document Type: Article

References (21)

1. Aigner D., Lovell C.A.K., and Schmidt P. Formulation and estimation of stochastic frontier production function models. J. Econometrics 6 (1977) 21-37
2. Arnold B.C., and Beaver R.J. Hidden truncation models. Sankhyā Sci. A 62 (2000) 23-35
3. Azzalini A., and Capitanio A. Statistical applications of the multivariate skew normal distribution. J. Roy. Statist. Soc. Sci. B 61 (1999) 579-602
4. Azzalini A., and Dalla Valle A. The multivariate skew-normal distribution. Biometrika 83 (1996) 715-726
5. Branco M.D., and Dey D.K. A general class of multivariate skew-elliptical distributions. J. Multivariate Anal. 79 (2001) 99-113
6. Cook R.D., and Weisberg S. An Introduction to Regression Graphics (1994), Wiley, New York
7. Copas J.B., and Li H.G. Inference for non-normal samples (with discussion). J. Roy. Statist. Soc. Sci. B 59 (1997) 55-95
8. Dawid A.P. Spherical matrix distributions and a multivariate model. J. Roy. Statist. Soc. Sci. B 39 (1977) 254-261
9. Fang B.Q. The skew elliptical distributions and their quadratic forms. J. Multivariate Anal. 87 (2003) 298-314
10. Fang B.Q. Noncentral quadratic forms of the skew elliptical variables. J. Multivariate Anal. 95 (2004) 410-430
11. Fang K.T., Kotz S., and Ng K.W. Symmetric Multivariate and Related Distributions (1990), Chapman & Hall, London, New York
12. Genton M.G., He L., and Liu X. Moments of skew-normal random vectors and their quadratic forms. Statist. Probab. Lett. 51 (2001) 319-325
13. González-Farías G., Domínguez-Molina A., and Gupta A.K. Additive properties of skew normal random vectors. J. Statist. Plann. Inference 126 (2004) 521-534
14. Hotelling H. The generalization of Student's ratio. Ann. Math. Statist. 2 (1931) 360-378
15. 2-test. Ann. Statist. 9 (1981) 211-214
16. Kim H.-M., and Mallick B.K. Moments of random vectors with skew t distribution and their quadratic forms. Statist. Probab. Lett. 63 (2003) 417-423
17. S. Kotz, N. Balakrishnan, N.L. Johnson, Continuous Multivariate Distributions, Models and Applications, second ed., vol. 1, Wiley, New York, 2000.
18. Mardia K.V. Measures of multivariate skewness and kurtosis with applications. Biometrika 57 (1970) 519-530
19. 2 test. Appl. Statist. 24 (1975) 163-171
20. Muirhead R.J. Aspects of Multivariate Statistical Theory (1982), Wiley, New York
21. 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