随机环境中马氏链的状态分类及性质
The Classification and Properties of States for Markov Chains in Random Environments
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摘要: 本文给出了随机环境中马氏链各种状态的定义, 研究了各种状态之间的关系, 给出了状态空间的一个划分; 同时研究了各状态的性质, 最后举例说明了所给状态定义的合理性.Abstract: In this paper, various concepts of states for Markov chains in random environments are introduced into the research field, and the relationships between these states are discussed. Especially, a partition of the state space is given. Also, the properties of those states are investigated. At last, some examples are given to illustrate the rationality of those states.