On divisible distributions on finite groups

V. M. Maksimov

Institute of Chemical Physics of the USSR Academy of Sciences

Abstract: In the paper, a general form of infinitely divisible distributions (in the J. L. Doob sense) on an arbitrary finite group is obtained. The supports of the distributions are described, and limit properties of their compositions are studied.

Received: 26.12.1968

 English version: Theory of Probability and its Applications, 1971, 16:2, 308–322

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