Sökning: "non-polynomial perturbation"

Hittade 2 avhandlingar innehållade orden non-polynomial perturbation.

  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