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.
出处
《数学的实践与认识》
CSCD
北大核心
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)
关键词
马氏环境
马氏链
强大数定律
强极限定理
markovian environments
Markov chains
strong law of large numbers
strong limit theorems
