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On the product of symmetric random variables
Authors:GG Hamedani  GG Walter
Institution:Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI 53233, USA;Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA
Abstract:Let X and Y be two independent and nondegenerate random variables such that X is symmetric about a and Y is symmetric about b. It is shown that XY is symmetric about ab if and only if ab= 0.
Keywords:symmetric distributions  independence
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