๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On Ali's Characterization of the Spherical Normal Distribution

โœ Scribed by Steven F. Arnold and James Lynch


Book ID
125789777
Publisher
Blackwell Publishing
Year
1982
Tongue
English
Weight
293 KB
Volume
44
Category
Article
ISSN
0035-9246

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๐Ÿ“œ SIMILAR VOLUMES


On some characterizations of spherical d
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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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A conjecture of Bobkov and Houdr6 (1995), recently proved by , stated that if X and Y are symmetric i.i.d, real random variables such that P(I(X + Y)/x/~l > t) <~ P(IXI > t) for any t > 0, then X has normal distribution. In this note, we give some generalization of their result with a short and simp