This article is cited in 2 papers

Conditional Markov chains with denumerable set of states

Z. I. Bežaeva

Moscow

Abstract: Let $\zeta_t=(\xi_t,\eta_t)$ ($t=1,2,\dots$) be a denumerable homogeneous Markov chain. If $\eta_1,\dots,\eta_n$ are fixed, $\xi_t$ ($t=1,2,\dots,n$) is a conditional Markov chain. In this paper, ergodicity properties of such chains are proved.

Received: 19.12.1975

 English version: Theory of Probability and its Applications, 1978, 22:3, 543–553

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