Search for dissertations about: "approximation process"

Showing result 1 - 5 of 180 swedish dissertations containing the words approximation process.

  1. 1. Some Markov Processes in Finance and Kinetics : Markov Processes

    Author : Mattias Sundén; Mattias Sunden; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; CGMY process; Collision kernel; Direct simulation Monte Carlo; Diffusion approximation; Extreme value theory; Feller process; Generalized hyperbolic process; Generalized $z$-process; Infinitesimal generator; Laplace-Beltrami operator; L evy Processes; Long-tailed distribution; Kac equation; Kac model; Markov process; Semigroup; Semi-heavy tailed distirbution; Spectral gap; Subexponential distibrution; Superexponential distribution; Tauberian theorem; Thermostat.; Diffusion approximation;

    Abstract : This thesis consists of four papers. The first two papers treat extremes for L\'evy processes, while papers three and four treat the Kac model with unbounded collision kernel. READ MORE

  2. 2. Semi-Markov Models for Insurance and Option Rewards

    Author : Fredrik Stenberg; Dmitrii Silvestrov; Kimmo Eriksson; Nikolaos Limnios; Mälardalens högskola; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; semi-Markov process; discrete time; insurance; actuarial; higher order reward; disability; variance; skewness; kurtosis; reward process; stochastic volatility; controlling semi-Markov process; Monte Carlo algorithm; convergence; optimal stopping; skeleton approximation; regime switching; semi-Markov modulated; European option; American option; Lévy process.; MATHEMATICS; MATEMATIK; Matematik tillämpad matematik;

    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

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

    Author : Zbigniew Michna; Matematisk statistik; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; 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

  4. 4. Propagation of Chaos for Kac-like Particle Systems

    Author : Dawan Mustafa; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : Master equations; chaotic densities; kinetic equations; propagation of chaos; Kac model; thermostatted master equation; Boltzmann equation; BGK equation; quenched process; uniform distribution; spectral gap; approximation process; kinetic equations;

    Abstract : This thesis concerns various aspects of the Kac model. The Kac model is a Markov jump process for a particle system where the total kinetic energy of the system is conserved. This particle model is connected to a limiting equation, describing the evolution of a one-particle density, when the numbers of particles tends to infinity. READ MORE

  5. 5. Pointwise and Genomewide Significance Calculations in Gene Mapping through Nonparametric Linkage Analysis: Theory, Algorithms and Applications

    Author : Lars Ängquist; Matematisk statistik; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; programming; actuarial mathematics; Statistik; cytogenetics; Genetik; cytogenetik; Mathematics; Matematik; Statistics; operations research; Genetics; ROC curves; conditioning loci; optimal score functions; noncentrality parameter; cost adjusted relative efficiency; exponential tilting; importance sampling; Monte Carlo simulation; normal approximation; crossover rate; process maximum; analytical approximation; significance calculations; NPL score; conditional linkage analysis; two-locus linkage analysis; Allele sharing; aktuariematematik; operationsanalys; programmering; gene-gene interaction; composite hypotheses; genetic disease models; classes of score functions; nonparametric linkage analysis;

    Abstract : In linkage analysis or, in a wider sense, gene mapping one searches for disease loci along a genome. This is done by observing so called marker genotypes (alleles) and phenotypes (affecteds/unaffecteds) of a pedigree set, i.e. READ MORE