Short Communications

On the speed of convergence of the convolutions of identical distributions defined on a finite group

V. M. Maksimov

Moscow

Abstract: In this paper the speed of convergence of the convolutions of identical distributions defined on a finite group is estimated. The result is applied to the problem of estimation of the speed of convergence of Markov chains with bistochastic transition matrices.

Received: 19.10.1965

 English version: Theory of Probability and its Applications, 1966, 11:3, 458–463

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