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.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:mdh-12953 |
| Date | January 2011 |
| Creators | Ni, Ying |
| Publisher | Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Västerås : Mälardalen University |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Doctoral thesis, comprehensive summary, info:eu-repo/semantics/doctoralThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | Mälardalen University Press Dissertations, 1651-4238 ; 106 |
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