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Characterizations of some continuous distributions

โœ Scribed by A. K. Gupta; T. T. Nguyen; Y. Wang

Publisher
Springer
Year
1997
Tongue
English
Weight
401 KB
Volume
6
Category
Article
ISSN
1613-981X

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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.

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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