Coupling for Markov renewal processes and the rate of convergence in ergodic theorems for processes with semi-Markov switchings

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1994 English Publisher:Springer Science and Business Media LLCJournal:Acta Applicandae Mathematicae, volume 34, pages 109-124 (issn: 0167-8019, eissn: 1572-9036,

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Authors: Silvestrov, Dmitrij S.;

doi: 10.1007/bf00994260

Coupling for Markov renewal processes and the rate of convergence in ergodic theorems for processes with semi-Markov switchings

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Abstract

The paper contains results on coupling procedures aimed at obtaining rate of convergence results in certain models. The models considered are Markov renewal processes, semi-Markov renewal equations and applications to random processes with semi-Markov switching, a special case of which are regenerative processes.

Related Organizations

Luleå University of Technology
Sweden

Keywords

Markov renewal processes, semi-Markov processes, regenerative processes, Renewal theory, Markov renewal processes, rate of convergence results, semi-Markov renewal equations, coupling procedures

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