随机环境中马氏链的大数定律和强大数定律  

The Strong Law of Large Numbers and the Law of Large Numbers for Markov Chains in Random Environments

作　　者：李明亮[1,2] 刘再明[1] 

机构地区：[1]中南大学数学科学与计算技术学院,长沙410083 [2]湖南第一师范学院数理系,长沙410205

出　　处：《应用概率统计》2011年第4期417-424,共8页Chinese Journal of Applied Probability and Statistics

基　　金：国家自然科学基金(10271020;10471012);院级课题(XYS10N07)资助

摘　　要：本文主要研究了单无限马氏环境中马氏链的几类特殊函数的大数定律及强大数定律,并且给出了加于链和过程特殊样本函数上的充分条件.In this paper,we primarily study the strong law of large numbers and the law of large numbers of some special functions for Markov chains in unidirectional infinitely Markovian environments,and give some sufficient conditions on the jointly Markov chains and the sample function of the jointly Markov chains.

关 键 词：随机环境 马氏链 大数定律 强大数定律 

分 类 号：O211.62[理学—概率论与数理统计]