Sökning: "perturbed renewal equation"
Hittade 4 avhandlingar innehållade orden perturbed renewal equation.
1. Nonlinearly Perturbed Renewal Equations : asymptotic Results and Applications
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
2. Perturbed Renewal Equations with Non-Polynomial Perturbations
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. Asymptotic Expansions for Perturbed Discrete Time Renewal Equations
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
4. Perturbed discrete time stochastic models
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