Strong Law of Large Numbers and Asymptotic Equipartition Probability for Nonsymmetric Markov Chain Indexed by Cayley Tree

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作者：

Yan DONG Wei Guo YANG Department of MathematicsShanghai Jiaotong UniversityShanghai PRChinaFaculty of ScienceJiangsu UniversityJiangsu PRChina ^{[1
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数学研究与评论 | 2010年 / 30卷 / 06期

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O211.62 [马尔可夫过程];

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摘要：

In this paper,we study the strong law of large numbers for the frequencies of occurrence of states and ordered couples of states for nonsymmetric Markov chain(NSMC) indexed by Cayley tree with any finite states.The asymptotic equipartition properties with almost everywhere(a.e.) convergence for NSMC indexed by Cayley tree are obtained.This article generalizes a recent result.

引用

页码：976 / 984

页数：9

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