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Some limit theorems for the second-order markov chains indexed by a general infinite tree with uniform bounded degree

Journal of Inequalities and Applications (2012) 2012
DOI: 10.1186/1029-242X-2012-2
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Abstract

In this paper, we study a convergence theorem for a finite second-order Markov chain indexed by a general infinite tree with uniformly bounded degree. Meanwhile, the strong law of large numbers (LLN) and Shannon-McMillan theorem for a finite second-order Markov chain indexed by this tree are obtained. © 2012 Shi et al.

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Shi, Z., Yang, W., Tian, L., & Zang, Q. (2012). Some limit theorems for the second-order markov chains indexed by a general infinite tree with uniform bounded degree. Journal of Inequalities and Applications, 2012. https://doi.org/10.1186/1029-242X-2012-2

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