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On the Distribution of Sums of Random Variables Defined on a Homogeneous Markov Chain with a Finite Number of States

I. S. Volkov

Moscow

Abstract: Local and integral limit theorems are established for a non-periodical case. The results are given in the form of asymptotic expansions taking into account various possible values of the sums under consideration.

Received: 07.05.1958

 English version: Theory of Probability and its Applications, 1958, 3:4, 384–399