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Individual Ergodic Theorems for Perturbed Alternating Regenerative Processes

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Stochastic Processes and Applications (SPAS 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 271))

Abstract

The paper presents results of complete analysis and classification of individual ergodic theorems for perturbed alternating regenerative processes with semi-Markov modulation. New short, long and super-long time ergodic theorems for regularly and singular type perturbed alternating regenerative processes are presented.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Stockholm University, 106 91, Stockholm, Sweden

    Dmitrii Silvestrov

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  1. Dmitrii Silvestrov
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Correspondence to Dmitrii Silvestrov .

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Editors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Anatoliy Malyarenko

  3. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Milica Rančić

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Silvestrov, D. (2018). Individual Ergodic Theorems for Perturbed Alternating Regenerative Processes . In: Silvestrov, S., Malyarenko, A., Rančić, M. (eds) Stochastic Processes and Applications. SPAS 2017. Springer Proceedings in Mathematics & Statistics, vol 271. Springer, Cham. https://doi.org/10.1007/978-3-030-02825-1_3

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