The Classification of States for Markov Chain in Random Environments and m-irreducible  

作　　者：WANG Weigang HU Dihe 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China [2]School of Mathematics and Statistics, Yunnan University,Kunming 650091, Yunnan, China

出　　处：《Wuhan University Journal of Natural Sciences》2007年第3期402-406,共5页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10371092);the Foundation of Wuhan University

摘　　要：First of all, we introduces the concept of m-irreducible of Markov chain in random environment. Then under the condition of m-irreducible, the relationship of recurrent and positive recurrent between two states is studied. We also give several conditions that can imply a state is recurrent and positive recurrent. And then the period of a state is discussed and we obtained that under the condition of m-irreducible, for any two states in x, they have the same period.First of all, we introduces the concept of m-irreducible of Markov chain in random environment. Then under the condition of m-irreducible, the relationship of recurrent and positive recurrent between two states is studied. We also give several conditions that can imply a state is recurrent and positive recurrent. And then the period of a state is discussed and we obtained that under the condition of m-irreducible, for any two states in x, they have the same period.

关 键 词：Markov chain in random environment m-irreducible recurrent stat transient state positive recurrent 

分 类 号：O211.62[理学—概率论与数理统计]