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On some characterizations of spherical distributions

โœ Scribed by Reinaldo B. Arellano-Valle


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
89 KB
Volume
54
Category
Article
ISSN
0167-7152

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โœฆ Synopsis


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.


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Characterizations of some subclasses of
โœ Jia-Juan Liang; Peter M. Bentler ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 419 KB

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 certa