Search for dissertations about: "Simulation of Ruin Probability"

Found 4 swedish dissertations containing the words Simulation of Ruin Probability.

  1. 1. Ruin probabilities and first passage times for self-similar processes

    Author : Zbigniew Michna; Matematisk statistik; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Simulation of Ruin Probability; Monte Carlo Method; Skorokhod Topology; Weak Convergence; Rice s Formula; Fluid Model; Risk Model; Scaled Brownian Motion; Long Range Dependence; Fractional Brownian Motion; Renewal Process; Levy Motion; Stable Process; Self-Similar Process; Gaussian Process; Ruin Probability; First Passage Time; Exponential Bound; Picands Constant.; Mathematics; Matematik;

    Abstract : 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. READ MORE

  2. 2. Two-Barrier Problems in Applied Probability: Algorithms and Analysis

    Author : Mats Pihlsgård; Matematisk statistik; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Statistics; operations research; programming; actuarial mathematics; Statistik; Matematik; Mathematics; Naturvetenskap; Natural science; Reflection; Stochastic processes; Applied probability; Queueing; operationsanalys; programmering; aktuariematematik;

    Abstract : 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. READ MORE

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

    Author : Ying Ni; Dmitrii Silvestrov; Anatoliy Malyarenko; Yuri Belyaev; Mälardalens högskola; []
    Keywords : 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;

    Abstract : 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 . READ MORE

  4. 4. Rare-event simulation with Markov chain Monte Carlo

    Author : Thorbjörn Gudmundsson; Henrik Hult; Ad Ridder; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics;

    Abstract : Stochastic simulation is a popular method for computing probabilities or expecta- tions where analytical answers are difficult to derive. It is well known that standard methods of simulation are inefficient for computing rare-event probabilities and there- fore more advanced methods are needed to those problems. READ MORE