The strong law of large numbers and the Shannon-McMillan theorem for the mth-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree

Zhiyan Shi and Weiguo Yang

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 7, 2045-2055

Abstract: In this article, we studied the strong law of large numbers(LLN) and Shannon-McMillan theorem for an mth-order nonhomogeneous Markov chain indexed by an m- rooted Cayley tree. This article generalized the relative results of level mth-order nonhomogeneous Markov chains indexed by an m- rooted Cayley tree.

Date: 2016
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DOI: 10.1080/03610926.2013.791371

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