On certain characterization of normal di
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Krzysztof Oleszkiewicz
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Article
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1997
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Elsevier Science
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English
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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