V. I. Sherstnev, “Decompositions of the uniform distribution on a finite group”, Teor. Veroyatnost. i Primenen., 2002, Volume 47, Issue 3,Pages <nobr>594

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Decompositions of the uniform distribution on a finite group

V. I. Sherstnev

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: All possible decompositions of the uniform distribution on a finite group into a convolution of probability distributions on the same group are described. Examples of such decompositions of the uniform distribution on particular groups are considered.

Keywords: probability distributions on groups, decompositions of probability distributions.

Received: 13.09.2001

DOI: 10.4213/tvp3699