双无限环境中马氏链的强大数定律  

The Strong Law of Large Numbers for Markov Chains in Double Infinite Environments

作　　者：郭明乐[1] 

机构地区：[1]安徽师范大学数学系,安徽芜湖241000

出　　处：《应用数学》2005年第1期174-180,共7页Mathematica Applicata

基　　金：安徽省教育厅自然科学基金 ( 2 0 0 3KJ1 65 )

摘　　要：在随机环境中马氏链的研究领域 ,构造了一时齐的马氏双链 ,讨论了它的存在性及基本性质 ,最后利用马氏双链的性质 ,得到了双无限环境中马氏链的函数极限定律 。In investigate field of Markov chains in random environments,the Markov bichains is constructed.Their existence and basic properties are discussed.Using their properties,a limit law for function of Markov chain in double infinite environments is obtained.Moreover,two sufficient conditions for the strong law of large numbers for function of Markov chain in double infinite environments are established.

关 键 词：随机环境 双无限环境中马氏链 强大数定律 

分 类 号：O211.62[理学—概率论与数理统计]