Strong Law of Large Numbers for Countable Markov Chains Indexed by an Infinite Tree with Uniformly Bounded Degree

Bao Wang, Weiguo Yang, Zhiyan Shi and Qingpei Zang

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: We study the strong law of large numbers for the frequencies of occurrence of states and ordered couples of states for countable Markov chains indexed by an infinite tree with uniformly bounded degree, which extends the corresponding results of countable Markov chains indexed by a Cayley tree and generalizes the relative results of finite Markov chains indexed by a uniformly bounded tree.

Date: 2014
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https://doi.org/10.1155/2014/325361

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:325361

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