随机环境中马氏链函数的强大数定律  

A STRONG LAW OF LARGE NUMBERS FOR FUNCTION OF MARKOV CHAINS IN RANDOM ENVIRONMENTS

作　　者：宋明珠[1] 吴永锋[1] SONG Ming-zhu WU Yong-feng(Department of Mathematics and Computing, Tongling University, Tongling 244000, Chin)

机构地区：[1]铜陵学院数学与计算机学院,安徽铜陵244000

出　　处：《数学杂志》2016年第6期1245-1252,共8页Journal of Mathematics

基　　金：高校省级自然科学研究项目(kj2013z331);省自然科学基金项目(1308085MA03)

摘　　要：本文研究了随机环境中马氏链函数的强极限定理,得到了随机环境中马氏链函数强大数定律成立的两个充分条件,拓宽了已有定理的适用范围.In this paper,strong limit theorem for function of Markov chains in random environments are investigated.Moreover two sufficients for the strong law of large numbers for function of Markov chains in random environments are obtained.Some laws we abtained broaden the using area of some results already have.

关 键 词：随机环境 马氏链 强大数定律 

分 类 号：O211.62[理学—概率论与数理统计]