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Stationary distributions and ergodicity of reflection-type Markov chains
Liu, Yujie1,2; Niu, Minwen1,2; Yao, Dacheng1,2; Zhang, Hanqin3
2022-10-01
发表期刊STATISTICS & PROBABILITY LETTERS
ISSN0167-7152
卷号189页码:8
摘要We consider a reflection-type Markov chain which is usually used to characterize some process features in stochastic control and operations management. The existence of its stationary distributions is established by proving it to be the Feller chain, and its ergodicity is obtained by constructing the small set. Furthermore, for the non-ergodic case, the system dynamics are completely characterized. (c) 2022 Elsevier B.V. All rights reserved.
关键词Markov chain Ergodicity Stationary distribution Feller chain Small set
DOI10.1016/j.spl.2022.109597
收录类别SCI
语种英语
资助项目CAS Project for Young Scientists in Basic Research[YSBR-008] ; National Natural Science Foundation of China[11771432] ; National Natural Science Foundation of China[11871461] ; National Natural Science Foundation of China[72071199]
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:000886363400003
出版者ELSEVIER
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/60644
专题应用数学研究所
通讯作者Zhang, Hanqin
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, CEMS, MADIS, Beijing 100191, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Natl Univ Singapore, Business Sch, Singapore 119245, Singapore
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GB/T 7714
Liu, Yujie,Niu, Minwen,Yao, Dacheng,et al. Stationary distributions and ergodicity of reflection-type Markov chains[J]. STATISTICS & PROBABILITY LETTERS,2022,189:8.
APA Liu, Yujie,Niu, Minwen,Yao, Dacheng,&Zhang, Hanqin.(2022).Stationary distributions and ergodicity of reflection-type Markov chains.STATISTICS & PROBABILITY LETTERS,189,8.
MLA Liu, Yujie,et al."Stationary distributions and ergodicity of reflection-type Markov chains".STATISTICS & PROBABILITY LETTERS 189(2022):8.
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