A Class of Strong Limit Theorems for Nonhomogeneous Markov Chains Field Indexed by a Homogeneous Tree

被引：0
|
作者：
Wang, Kangkang [1 ]
Zong, Decai [2 ]
机构：
[1] Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Peoples R China
[2] Changshu Inst Technol, Coll Comp Sci & Engn, Changshu 215500, Jiangsu, Peoples R China
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2012年 / 36卷 / 06期
关键词：
The homogeneous tree; Markov chain field; The conditional moment generating function; Harmonic mean; Transition probability;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the strong limit theorems on the a.s. convergence for the harmonic mean of the transition probabilities of nonhomogeneous Markov chain indexed by the homogeneous tree. In the proof, we apply the tool of conditional moment generating functions and establishment of the consistent distribution functions to the study of strong limit theorems for Markov chains indexed by the homogeneous tree. As corollaries, some strong limit theorems for the Markov chains field on a homogeneous tree and the nonhomogeneous Markov chain are obtained. Some results which have been obtained are extended.
引用
收藏
页码：891 / 902
页数：12
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