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On certain characterization of normal distribution

โœ Scribed by Krzysztof Oleszkiewicz

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
160 KB
Volume
33
Category
Article
ISSN
0167-7152

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โœฆ Synopsis

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 simple proof which can be useful in some other cases.

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