Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6826(e) ISSN 0002-9939(p)

$L_p$ -norm uniform distribution

Author(s): D. Song; A. K. Gupta
Journal: Proc. Amer. Math. Soc. 125 (1997), 595-601.
MSC (1991): Primary 62H10
MathSciNet review: 1396997
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: In this paper, the $L_p$ -norm uniform distribution, which is a generalization of the uniform distribution studied by Cambanis, Huang, and Simon (1981), is defined for any $p>0$ . Then its marginal distributions and order statistics are studied.

References:

1.: G. E. P. Box and G. C. Tiao, A further look at robustness via Bayes's theorem, Biometrika 49 (1962), 419-432. MR 28:680
2.: S. Cambanis, S. Huang, and G. Simons, On the theory of elliptically contoured distributions, J. Multivariate Anal. 11 (1981), 368-385. MR 83a:60023
3.: K. T. Fang, S. Kotz and K. W. Ng, Symmetric Multivariate and Related Distributions, Chapman and Hall, New York, 1990. MR 91i:62070
4.: I. R. Goodman and S. Kotz, Multivariate $\theta$ -generalized normal distributions, J. Multivariate Anal. 3 (1973), 204-219. MR 48:7338
5.: A. K. Gupta and T. Varga, Elliptically Contoured Models in Statistics, Kluwer, Dordrecht, 1993. MR 95a:62038
6.: Y. Kuwana and T. Kariya, LBI tests for multivariate normality in exponential power distributions, J. Multivariate Anal. 39 (1991), 117-134. MR 93a:62087
7.: R. J. Muirhead, Aspects of Multivariate Statistical Theory, Wiley, New York, 1982. MR 84c:62073

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|