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

作     者：Yan DONG Wei Guo YANG 

作者机构：Department of MathematicsShanghai Jiaotong UniversityShanghai 200240P.R.China Faculty of ScienceJiangsu UniversityJiangsu 212013P.R.China 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2010年第30卷第6期

页      面：976-984页

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

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

主　　题：strong law of large numbers nonsymmetric Markov chain Cayley tree asymptotic equipartition property. 

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 *** asymptotic equipartition properties with almost everywhere（a.e.） convergence for NSMC indexed by Cayley tree are *** article generalizes a recent result.