齐次树上三次循环树指标马氏链的强极限定理  

STRONG LIMIT THEOREMS FOR A THREE TIMES CIRCULATION MARKOV CHAIN INDEXED BY A HOMOGENEOUS TREE

作　　者：潘恒[1] 杨卫国[1] 

机构地区：[1]江苏大学理学院,镇江212013

出　　处：《系统科学与数学》2010年第5期710-720,共11页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10571076)资助项目

摘　　要：首先给出齐次树上三次循环树指标马氏链的定义,利用构造鞅的方法,研究齐次树上三次循环树指标马氏链的强极限定理,并给出其状态及状态序偶发生频率的强大数定律.In this paper, the definition of a three times circulation Markov chain indexed by a homogeneous tree is introduced. Then strong limit theorems for a three times circulation Markon chain indexed by a homogeneous tree are given by using the method of construction martingle, and also the strong laws of large numbers for the frequencies of occurrence of states and ordered couple of states for this Markov chain are proven.

关 键 词：三次循环树 状态与状态序偶 强极限定理 强大数定律 

分 类 号：O211.4[理学—概率论与数理统计]