Strong law of large numbers for countable nonhomogeneous Markov chains

被引：13

作者：

Yang, Weiguo ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiong 212013, Jiangsu, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 430卷 / 11-12期

关键词：

Countable nonhomogeneous Markov chains; Uniform convergence in the Cesaro sense; Strong law of large numbers; Shannon-McMillan-Breiman theorem;

D O I：

10.1016/j.laa.2009.01.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to establish a strong law of large numbers for the bivariate functions of countable nonhomogeneous Markov chains under the condition of uniform convergence in the Cesaro sense which differs from my previous results. As corollaries, we generalize one of the Liu and Liu's results for the univariate functions case and obtain another Shannon-McMillan-Breiman theorem for this Markov chains. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：3008 / 3018

页数：11

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