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Athreya , KB and McDonald, D and Ney, P (1978) Limit Theorems for Semi-Markov Processes and Renewal Theory for Markov Chains. In: Annals of Probability, 6 (5). 788-797 .
Athreya , KB and Ney, P (1978) A New Approach to the Limit Theory of Recurrent Markov Chains. In: Transactions of the American Mathematical Society, 245 (Nov). 493-501 .