The strong law of large numbers and the Shannon-McMillan theorem for the mth-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree

被引：1
作者：
Shi, Zhiyan [1 ]
Yang, Weiguo [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2016年 / 45卷 / 07期
基金：
中国国家自然科学基金;
关键词：
m- rooted Cayley tree; mth-order Nonhomogeneous Markov chain; Strong law of large numbers; Shannon-McMillan theorem; ASYMPTOTIC EQUIPARTITION PROPERTY; LIMIT PROPERTIES; ERGODIC THEOREM; INFINITE TREE;
D O I：
10.1080/03610926.2013.791371
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this article, we studied the strong law of large numbers(LLN) and Shannon-McMillan theorem for an mth-order nonhomogeneous Markov chain indexed by an m- rooted Cayley tree. This article generalized the relative results of level mth-order nonhomogeneous Markov chains indexed by an m- rooted Cayley tree.
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收藏
页码：2045 / 2055
页数：11
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