Open this publication in new window or tab >>2011 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]
In this thesis we investigate a model of nonlinearly perturbed continuous-time renewal equation. Some characteristics of the renewal equation are assumed to have non-polynomial perturbations, more specifically they can be expanded with respect to a non-polynomial asymptotic scale. The main result of the present study is exponential asymptotic expansions for the solution of the perturbed renewal equation. These asymptotic results are also applied to various applied probability models like perturbed risk processes, perturbed M/G/1 queues and perturbed dam/storage processes.
The thesis is based on five papers where the model described above is successively studied.
Place, publisher, year, edition, pages
Västerås: Mälardalen University, 2011. p. 33
Series
Mälardalen University Press Dissertations, ISSN 1651-4238 ; 106
Keywords
Nonlinearly perturbed renewal equation, perturbed renewal equation, nonlinear perturbation, non-polynomial perturbation, perturbed risk process, perturbed storage process
National Category
Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
urn:nbn:se:mdh:diva-12953 (URN)978-91-7485-032-1 (ISBN)
Public defence
2011-10-28, Gamma, Högskoleplan 1, Mälardalens Högskola, Västerås, 13:15 (English)
Opponent
Supervisors
2011-09-052011-09-022015-06-29Bibliographically approved