关于马氏环境中马氏链的强极限定理的注  

On Strong Laws of Large Numbers for Markov Chains in Markovian Environments

作　　者：张健[1] 张丽娜[2] 闫广州[2] 

机构地区：[1]唐山学院基础教学部,河北唐山063000 [2]河北农业大学理学院,河北保定071001

出　　处：《数学的实践与认识》2011年第11期195-199,共5页Mathematics in Practice and Theory

基　　金：河北省自然科学基金(E2008000357,2007122,F2010001044);河北农业大学非生命学科基金(FS201008)

摘　　要：利用鞅收敛定理讨论马氏环境中马氏链的强收敛性,建立相应的强大数定律,使得已知的一系列结果为其特例.In this paper, the strong convergence for Markov chains in markovian environments are investigated by martingale convergence theorem and known inequalities. Strong laws of large numbers have been established. A class of results which have been known are the particular cases of the results of this paper.

关 键 词：马氏环境 马氏链 强大数定律 强极限定理 

分 类 号：O211.4[理学—概率论与数理统计]