Strong Law of Large Numbers for Countable Asymptotic Circular Markov Chains

Weiguo Yang, Bei Wang and Zhiyan Shi

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 18, 3943-3954

Abstract: In this article, we introduce the notion of a countable asymptotic circular Markov chain, and prove a strong law of large numbers: as a corollary, we generalize a well-known version of the strong law of large numbers for nonhomogeneous Markov chains, and prove the Shannon-McMillan-Breiman theorem in this context, extending the result for the finite case.

Date: 2014
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DOI: 10.1080/03610926.2012.712187

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