This article is cited in 4 papers

Short Communications

The Poisson theorem and the Markov chains

M. G. Šur

Moscow

Abstract: It is well-known that the inequality (1) permits to estimate the deviation of some distributions, particularly the binomial distribution, from the Poisson one. We note that this inequality may be naturally extended on the case of Markov chains. Two examples are considered.

Received: 07.02.1981

 English version: Theory of Probability and its Applications, 1985, 29:1, 124–126

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