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关于可列非齐次马氏链Cesaro平均收敛性及二元函数的强大数定律
引用本文:杨卫国,刘开弟,董卫.关于可列非齐次马氏链Cesaro平均收敛性及二元函数的强大数定律[J].数学物理学报(A辑),1998(Z1).
作者姓名:杨卫国  刘开弟  董卫
作者单位:河北建筑科技学院,河北建筑科技学院,华北水利水电学院 邯郸 056038,邯郸 056038,邯郸 056021
摘    要:该文的目的是要研究可列非齐次马氏链的Cesaro平均收敛性及二元函数的强大数定律.并利用这两者研究可列非齐次马氏链的Shannon-Mcmillan定理.

关 键 词:可列非齐次马氏链  Cesaro平均收敛性  强大数定律  Shannon-Mcmillan定理

The Convergence of The Cesaro Averages and The Strong Law of Large Numbers for Nonhomogeneous Markov Chains
Yang Weiguo,Liu Kaidi,Dong Wei Hebei Institute of Architectural Science and Technology.Handan North China Institute of Water Conservancy and Hydroelectric Power.Handn.The Convergence of The Cesaro Averages and The Strong Law of Large Numbers for Nonhomogeneous Markov Chains[J].Acta Mathematica Scientia,1998(Z1).
Authors:Yang Weiguo  Liu Kaidi  Dong Wei Hebei Institute of Architectural Science and TechnologyHandan North China Institute of Water Conservancy and Hydroelectric PowerHandn
Institution:Yang Weiguo;Liu Kaidi;Dong Wei Hebei Institute of Architectural Science and Technology.Handan 056038 North China Institute of Water Conservancy and Hydroelectric Power.Handn 056021
Abstract:In this paper authers are to study the convergence of Cesaro averages and the stronglaw of large numbers for nonhomogeneous Markov chains,and to study the Shannon-McMillantheorem for nonhomogeneous Markov chaims by using above two concepts.
Keywords:Countable nonhomogeneous Markov chains  convergence of Cesaro averages  strong law of large numbers  Shannon-McMilllan theorem  
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