This article is cited in 4 papers

Short Communications

К вопросу о совместном распределении частот $s$-цепочек в сложных цепях Маркова с большим числом состояний

P. F. Belyaev

Moscow

Abstract: The sequence of runs of tests, each run forming a compound $(s-1)$-order homogeneous Markov chain near to a multinomial scheme, is considered. The asymptotic behaviour of the probability of the location of $s$-tuple frequencies in rectangular regions close to the mean values of these frequencies is studied, when the number of tests in a run as well as the number of outcomes of a chain increases together with the run number.

Received: 24.10.1967

 English version: Theory of Probability and its Applications, 1969, 14:2, 324–330

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