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Characterizations of some subclasses of spherical distributions

โœ Scribed by Jia-Juan Liang; Peter M. Bentler

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
419 KB
Volume
40
Category
Article
ISSN
0167-7152

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โœฆ Synopsis

Three types of characterizations for two subclasses of spherical distributions are presented. Within the class of spherical distributions, we prove that the symmetric Kotz-type distributions (under some restricted parameters) and the symmetric Pearson-type II distributions are characterized by certain marginal and conditional distributions, and the distributions of some quadratic forms, respectively.

๐Ÿ“œ SIMILAR VOLUMES

On some characterizations of spherical d
On some characterizations of spherical distributions
โœ Reinaldo B. Arellano-Valle ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 89 KB

A characterization for each spherical (symmetric) distribution is presented. Moreover, a representation as a scale mixture of the Pearson type II distribution is obtained. Some extensions to the multivariate case are also considered.