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Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes
Department of Mathematics, Stockholm University, Stockholm, Sweden.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.ORCID iD: 0000-0003-4554-6528
2017 (English)In: Nonlinearly Perturbed Semi-Markov Processes, Springer Nature , 2017, p. 67-79Chapter in book (Refereed)
Abstract [en]

In Chapter 4, new algorithms for construction of asymptotic expansions for stationary distributions of nonlinearly perturbed semi-Markov processes with finite phase spaces are presented. These algorithms are based on the technique of sequential phase space reduction, which can be applied to processes with an arbitrary asymptotic communicative structure of phase spaces. Asymptotic expansions are given in two forms, without and with explicit upper bounds for remainders. © 2017, The Author(s).

Place, publisher, year, edition, pages
Springer Nature , 2017. p. 67-79
Series
SpringerBriefs in Probability and Mathematical Statistics, ISSN 2365-4333, E-ISSN 2365-4341
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Mathematics
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URN: urn:nbn:se:mdh:diva-58759DOI: 10.1007/978-3-319-60988-1_4Scopus ID: 2-s2.0-85130930926ISBN: 9783319609881 (electronic)OAI: oai:DiVA.org:mdh-58759DiVA, id: diva2:1666094
Available from: 2022-06-08 Created: 2022-06-08 Last updated: 2022-06-08Bibliographically approved

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Silvestrov, Sergei

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