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Nonlinearly perturbed birth-death-type models
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-2626-5598
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
2016 (English)Report (Other academic)
Abstract [en]

Asymptotic expansions for stationary and conditional quasi-stationary distributions of nonlinearly perturbed birth-death-type semi-Markov models are presented. Applications to models of population growth, epidemic spread and population genetics are discussed.

Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, Stockholm University , 2016. , p. 63
Series
Research report / Mathematical Statistics, ISSN 1650-0377 ; 2016:16
Keywords [en]
Markov chain, Semi-Markov process, Nonlinear perturbation, Stationary distribution, Expected hitting time, Laurent asymptotic expansion, Population dynamics model, Epidemic model, Population genetics model
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:su:diva-139774OAI: oai:DiVA.org:su-139774DiVA, id: diva2:1073849
Available from: 2017-02-13 Created: 2017-02-13 Last updated: 2017-11-21Bibliographically approved

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Silvestrov, DmitriiHössjer, Ola
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CiteExportLink to record
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