Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees

被引：0

作者：

Weicai Peng

Jie Liu

Yongchao Hou

Peishu Chen

Jueping Bu

机构：

[1] Shanghai University of Finance and Economics,School of International Business Administration

[2] Chaohu University,Department of Mathematics

[3] Huaibei Normal University,College of Mathematics and Science

来源：

Journal of Inequalities and Applications | / 2016卷

关键词：

nonhomogeneous Markov chain; controlled tree; strong law of large numbers; AEP;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, a kind of infinite, local finite tree T, named a controlled tree, is introduced. Some strong limit properties, such as the strong law of large numbers and the asymptotic equipartition property, for nonhomogeneous Markov chains indexed by T, are established. The outcomes are the generalizations of some well-known results.

引用

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