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Stationary distributions and ergodicity of reflection-type Markov chains

Author

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  • Liu, Yujie
  • Niu, Minwen
  • Yao, Dacheng
  • Zhang, Hanqin

Abstract

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.

Suggested Citation

  • Liu, Yujie & Niu, Minwen & Yao, Dacheng & Zhang, Hanqin, 2022. "Stationary distributions and ergodicity of reflection-type Markov chains," Statistics & Probability Letters, Elsevier, vol. 189(C).
    • Handle: RePEc:eee:stapro:v:189:y:2022:i:c:s0167715222001420
    DOI: 10.1016/j.spl.2022.109597
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    References listed on IDEAS

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