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Flows of Rare Events for Regularly Perturbed Semi-Markov Processes
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Stockholm University, Sweden. (MAM)ORCID iD: 0000-0002-2626-5598
2022 (English)In: Stochastic Processes, Statistical Methods, and Engineering Mathematics / [ed] Malyarenko, Anatoliy; Ni, Ying; Rančić, Milica; Silvestrov, Sergei, 2022, Vol. 408, p. 447-485Conference paper, Published paper (Refereed)
Abstract [en]

Necessary and sufficient conditions for convergence in distribution and in Skorokhod J-topology for counting processes generated by flows of rare events for perturbed semi-Markov processes with finite phase space are obtained.
Place, publisher, year, edition, pages
2022. Vol. 408, p. 447-485
Series
Springer Proceedings in Mathematics & Statistics
Keywords [en]
Semi-Markov process, Rare event, Counting process, Limit theorem
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-70723DOI: 10.1007/978-3-031-17820-7_21ISBN: 978-3-031-17819-1 (print)ISBN: 978-3-031-17820-7 (electronic)OAI: oai:DiVA.org:mdh-70723DiVA, id: diva2:1948803
Conference
SPAS 2019, Västerås, Sweden, September 30 – October 2
Available from: 2025-03-31 Created: 2025-03-31 Last updated: 2025-10-10Bibliographically approved

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