Sökning: "Renewal equation"

Visar resultat 1 - 5 av 7 avhandlingar innehållade orden Renewal equation.

1. 1. Perturbed Renewal Equations with Non-Polynomial Perturbations

   Författare :Ying Ni; Dmitrii Silvestrov; Anatoliy Malyarenko; Yuri Belyaev; Mälardalens högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Renewal equation; perturbed renewal equation; non-polynomial perturbation; exponential asymptotic expansion; risk process; ruin probability; Mathematical statistics; Matematisk statistik; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Sammanfattning : This thesis deals with a model of nonlinearly perturbed continuous-time renewal equation with nonpolynomial perturbations. The characteristics, namely the defect and moments, of the distribution function generating the renewal equation are assumed to have expansions with respect to a non-polynomial asymptotic scale: $\{\varphi_{\nn} (\varepsilon) =\varepsilon^{\nn \cdot \w}, \nn \in \mathbf{N}_0^k\}$  as $\varepsilon \to 0$, where $\mathbf{N}_0$ is the set of non-negative integers, $\mathbf{N}_0^k \equiv \mathbf{N}_0 \times \cdots \times \mathbf{N}_0, 1\leq k . LÄS MER

3. 2. Nonlinearly Perturbed Renewal Equations : asymptotic Results and Applications

   Författare :Ying Ni; Dmitrii Silvestrov; Anatoliy Malyarenko; Mats Gyllenberg; Mälardalens högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Nonlinearly perturbed renewal equation; perturbed renewal equation; nonlinear perturbation; non-polynomial perturbation; perturbed risk process; perturbed storage process; Mathematical statistics; Matematisk statistik; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Sammanfattning : 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. LÄS MER

4. 3. Asymptotic Expansions for Perturbed Discrete Time Renewal Equations

   Författare :Mikael Petersson; Dmitrii Silvestrov; Ola Hössjer; Henrik Hult; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Renewal equation; Perturbation; Asymptotic expansion; Regenerative process; Quasi-stationary distribution; Risk process; Ruin probability;

   Sammanfattning : In this thesis we study the asymptotic behaviour of the solution of a discrete time renewal equation depending on a small perturbation parameter. In particular, we construct asymptotic expansions for the solution of the renewal equation and related quantities. LÄS MER

5. 4. Perturbed discrete time stochastic models

   Författare :Mikael Petersson; Dmitrii Silvestrov; Ola Hössjer; Nikolaos Limnios; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Renewal equation; Perturbation; Asymptotic expansion; Regenerative process; Risk process; Semi-Markov process; Markov chain; Quasi-stationary distribution; Ruin probability; First hitting time; Solidarity property; Mathematical Statistics; matematisk statistik;

   Sammanfattning : In this thesis, nonlinearly perturbed stochastic models in discrete time are considered. We give algorithms for construction of asymptotic expansions with respect to the perturbation parameter for various quantities of interest. LÄS MER

7. 5. Analysis of cardiac cell turnover in humans by radiocarbon dating and mathematical modeling

   Författare :Sofia Zdunek; Karolinska Institutet; Karolinska Institutet; []
   Nyckelord :;

   Sammanfattning : Cardiovascular disease is the largest cause of morbidity and mortality in the Western World. Disease progression often involves a loss of contracting cells, cardiomyocytes, which leads to cardiac failure and the need for heart transplantation with time. LÄS MER