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On distributionally regenerative Markov chains

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  • Nummelin, Esa

Abstract

This paper deals with characterizations for the distributional regeneration of general Markov chains. In particular, we formulate sufficient conditions for the positive recurrence in terms of matrix representations and minorization conditions. As examples we study the distributional regeneration of shifts on a finite alphabet and ergodic S-unimodal interval maps.

Suggested Citation

  • Nummelin, Esa, 1997. "On distributionally regenerative Markov chains," Stochastic Processes and their Applications, Elsevier, vol. 72(2), pages 241-264, December.
    • Handle: RePEc:eee:spapps:v:72:y:1997:i:2:p:241-264
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    References listed on IDEAS

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    1. Nummelin, Esa & Tuominen, Pekka, 1983. "The rate of convergence in Orey's theorem for Harris recurrent Markov chains with applications to renewal theory," Stochastic Processes and their Applications, Elsevier, vol. 15(3), pages 295-311, August.
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