李明亮, 刘再明. 随机环境中马氏链的状态分类及性质[J]. 应用概率统计, 2016, 32(3): 279-289.
引用本文: 李明亮, 刘再明. 随机环境中马氏链的状态分类及性质[J]. 应用概率统计, 2016, 32(3): 279-289.
LI Mingliang, LIU Zaiming. The Classification and Properties of States for Markov Chains in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2016, 32(3): 279-289.
Citation: LI Mingliang, LIU Zaiming. The Classification and Properties of States for Markov Chains in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2016, 32(3): 279-289.

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

  • 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.

     

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