The strong law of large numbers and the Shannon–McMillan theorem for nonhomogeneous Markov chains indexed by a Cayley tree

Yan Dong, Weiguo Yang and Jianfang Bai

Statistics & Probability Letters, 2011, vol. 81, issue 12, 1883-1890

Abstract: In this paper, we study the strong law of large numbers and the Shannon–McMillan theorem for nonhomogeneous Markov chains indexed by a Cayley tree. This article generalizes the relative results of level nonhomogeneous Markov chains indexed by a Cayley tree.

Keywords: Strong law of large numbers; Nonhomogeneous Markov chains; Cayley tree; Asymptotic equipartition property (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1016/j.spl.2011.06.021

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