Translated from the Russian. The main problem of the arithmetic of probability distributions is the study of all possible representations of a given random variable as the sum of independent random variables. This book contains material concerning the applicability of that theory to random variables with values in a locally compact Abelian group. The results on the arithmetic of probability distributions are then used to solve characteristic problems of mathematical statistics on Abelian groups. Annotation copyright Book News, Inc. Portland, Or.
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