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

作　　者：Yan DONG Wei Guo YANG 

机构地区：[1]Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,P.R.China [2]Faculty of Science,Jiangsu University,Jiangsu 212013,P.R.China

出　　处：《Journal of Mathematical Research and Exposition》2010年第6期976-984,共9页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10571076)

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.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.

关 键 词：strong law of large numbers nonsymmetric Markov chain Cayley tree asymptotic equipartition property. 

分 类 号：O211.6[理学—概率论与数理统计]