A Class of Strong Deviation Theorems for the Random Fields Associated with Nonhomogeneous Markov Chains Indexed by a Bethe Tree

被引：29

作者：

Yang, Weiguo ^{[1
]}

机构：

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

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2012年 / 30卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Asymptotic equipartition property; Bethe tree; Nonhomogeneous Markov chains; Strong deviation theorem; HOMOGENEOUS TREE;

D O I：

10.1080/07362994.2012.649619

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish a class of strong deviation theorems for the random fields which are associated with nonhomogeneous Markov chains indexed by a Bethe tree. As corollaries, we obtain the strong law of large numbers and asymptotic equipartition property for nonhomogeneous Markov chains indexed by such tree.

引用

页码：220 / 237

页数：18

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