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Individual ergodic theorem for perturbed alternating regenerative processes
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-2626-5598
2018 (English)In: Stochastic Processes and Applications: SPAS2017, Västerås and Stockholm, Sweden, October 4-6, 2017 / [ed] Sergei Silvestrov, Anatoliy Malyarenko, Milica Rančić, Cham: Springer , 2018, p. 23-89Chapter in book (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
Cham: Springer , 2018. p. 23-89
Series
Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009, E-ISSN 2194-1017 ; 271
Keywords [en]
Alternating regenerative process, Semi-Markov modulation, Regular perturbation, Singular perturbation, Ergodic theorem
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:su:diva-165093DOI: 10.1007/978-3-030-02825-1_3ISBN: 978-3-030-02824-4 (print)ISBN: 978-3-030-02825-1 (electronic)OAI: oai:DiVA.org:su-165093DiVA, id: diva2:1281228
Available from: 2019-01-21 Created: 2019-01-21 Last updated: 2019-01-31Bibliographically approved

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