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.
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页码：220 / 237
页数：18
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