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高校应用数学学报
高校应用数学学报  2016, Vol. 31 Issue (3): 273-280    
    
随机环境中马氏链状态的各种常返性与暂留性
费时龙
宿州学院 数学与统计学院, 安徽宿州 234000
Several recurrence and transience of states for Markov chains in random environments
FEI Shi-long
School of Mathematics and Statistics, Suzhou University, Suzhou 234000, China
 全文: PDF 
摘要： 考虑到随机环境中马氏链的状态在受到环境因素各种条件的影响下, 引入了随机环境中马氏链状态的各种常返性与暂留性概念, 讨论了这些常返性与暂留性的相互关系, 从而说明随机环境中马氏链状态的常返性与暂留性和经典马氏链状态的常返性与暂留性有着显著的区别.
关键词： 随机环境;  常返;  强常返;  暂留    
Abstract: Several concepts of recurrence and transience of states for Markov Chains in random environments are introduced under the influence of various environmental factors, and their connections and properties are discussed. These conclusions present that the recurrence and transience of states for Markov Chains in random environments and the recurrence and transience of states for classical Markov chains have obvious differences.
Key words: random environments    recurrence    transience
收稿日期: 2015-06-10 出版日期: 2018-05-16
CLC:  O211.62  
基金资助: 安徽省高等学校省级自然科学基金(KJ2016A770); 安徽省高校优秀青年人才支持计划重点项目(gxyqZD2016340); 安徽省教育厅人文社科研究重点项目(SK2016A1006)
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费时龙

引用本文:

费时龙. 随机环境中马氏链状态的各种常返性与暂留性[J]. 高校应用数学学报, 2016, 31(3): 273-280.

FEI Shi-long. Several recurrence and transience of states for Markov chains in random environments. Applied Mathematics A Journal of Chinese Universities, 2016, 31(3): 273-280.

链接本文:

http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2016/V31/I3/273

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