Strong Law of Large Numbers and Asymptotic Equipartition Probability for Nonsymmetric Markov Chain Indexed by Cayley Tree
Received:October 27, 2008  Revised:January 18, 2010
Key Words: strong law of large numbers   nonsymmetric Markov chain   Cayley tree   asymptotic equipartition property.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10571076).
Author NameAffiliation
Yan DONG Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P. R. China 
Wei Guo YANG Faculty of Science, Jiangsu University, Jiangsu 212013, P. R. China 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.06.004
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