Sökning: "Nonlinearly perturbed renewal equation"

Hittade 3 avhandlingar innehållade orden Nonlinearly perturbed renewal equation.

  1. 1. 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

  3. 2. 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

  4. 3. 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