Some Limit Theorems for Nonhomogeneous Markov Chains Indexed by an Infinite Tree with Uniformly Bounded Degree

Kangkang Wang

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Abstract

In this paper, a generalized Shannon-McMillan theorem for the nonhomogeneous Markov chains indexed by an infinite tree which has a uniformly bounded degree is discussed by constructing a nonnegative martingale and analytical methods. As corollaries, some Shannon-Mcmillan theorems for the nonhomogeneous Markov chains indexed by a homogeneous tree and the nonhomogeneous Markov chain are obtained. Two results which have been obtained are extended.

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Published

2012-08-01

How to Cite

Team, S. (2012). Some Limit Theorems for Nonhomogeneous Markov Chains Indexed by an Infinite Tree with Uniformly Bounded Degree: Kangkang Wang. Thai Journal of Mathematics, 10(2), 233–243. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/315

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