Search for dissertations about: "D Levy"
Showing result 1 - 5 of 9 swedish dissertations containing the words D Levy.
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1. Stochastic Models Involving Second Order Lévy Motions
Abstract : This thesis is based on five papers (A-E) treating estimation methods for unbounded densities, random fields generated by Lévy processes, behavior of Lévy processes at level crossings, and a Markov random field mixtures of multivariate Gaussian fields. In Paper A we propose an estimator of the location parameter for a density that is unbounded at the mode. READ MORE
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2. Approximation of Infinitely Divisible Random Variables with Application to the Simulation of Stochastic Processes
Abstract : This thesis consists of four papers A, B, C and D. Paper A and B treats the simulation of stochastic differential equations (SDEs). The research presented therein was triggered by the fact that there were not any efficient implementations of the higher order methods for simulating SDEs. READ MORE
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3. Semi-Markov Models for Insurance and Option Rewards
Abstract : This thesis presents studies of semi-Markov models for insurance and option rewards. The thesis consists of the introduction and six papers. The introduction presents the results of the thesis in an informal way.In paper A, a general semi-Markov reward model is presented. READ MORE
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4. Topics in Simulation and Stochastic Analysis
Abstract : Paper A investigates how to simulate a differentiated mean in cases where interchanging differentiation and expectation is not allowed. Three approaches are available, finite differences (FD's), infinitesimal perturbation analysis (IPA) and the likelihood ratio score function (LRSF) method. READ MORE
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5. Numerical analysis for random processes and fields and related design problems
Abstract : In this thesis, we study numerical analysis for random processes and fields. We investigate the behavior of the approximation accuracy for specific linear methods based on a finite number of observations. Furthermore, we propose techniques for optimizing performance of the methods for particular classes of random functions. READ MORE