Sökning: "Ruin probability"
Visar resultat 1 - 5 av 9 avhandlingar innehållade orden Ruin probability.
1. Ruin probabilities and first passage times for self-similar processes
Sammanfattning : This thesis investigates ruin probabilities and first passage times for self-similar processes. We propose self-similar processes as a risk model with claims appearing in good and bad periods. Then, in particular, we get the fractional Brownian motion with drift as a limit risk process. LÄS MER
2. Two-Barrier Problems in Applied Probability: Algorithms and Analysis
Sammanfattning : This thesis consists of five papers (A-E). In Paper A, we study transient properties of the queue length process in various queueing settings. We focus on computing the mean and the Laplace transform of the time required for the queue length starting at $x0. We define the loss rate due to the reflection. LÄS MER
3. 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
4. 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
5. 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