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Ratio limit theorems for Markov chains

Ratio limit theorems for Markov chains

In an irreducible, recurrent, Markov chain, with integer states, let N n (A) be the occupation time of A by time n, where A is a finite set of states.Our principal concern in this paper is to investigate various *'ratio limit theorem" for Px(N n (A) = k).Criteria are given …