Renewal theorem and Markov chains
Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 11 (1975) no. 2, pp. 187-197. 
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     number = {2},
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     url = {http://archive.numdam.org/item/AIHPB_1975__11_2_187_0/}
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McDonald, David. Renewal theorem and Markov chains. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 11 (1975) no. 2, pp. 187-197. http://archive.numdam.org/item/AIHPB_1975__11_2_187_0/

[1] W. Feller, An introduction to probability theory and its applications. Vol. 2, p. 372.

[2] Ibid., p. 368.

[3] Ibid., p. 188.

[4] F. Orey, Lectures notes on limit theorems for Markov chain transition probabilities. Van Nostrand Reinhold, 1971. | MR | Zbl

[5] G. Croquet and J. Deny, C. R. Acad. Sci. Paris, Vol. 250, 1960, p. 799-801. | MR | Zbl

[6] W. Feller, Vol. 2, p. 369.

[7] P. Billingsly, Convergence of probability measures, p. 30-31.

[8] W. Feller, Vol. 2, p. 391.