Sökning: "Lévy process"

Visar resultat 1 - 5 av 30 avhandlingar innehållade orden Lévy process.

  1. 1. Bridges with Random Length and Pinning Point for Modelling the Financial Information

    Författare :Mohammed Louriki; Astrid Hilbert; Dorje C. Brody; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Brownian motion; Brownian bridge; Gaussian process; Gaussian bridge; Gamma process; Gamma bridge; Lévy process; pinned Lévy process; Markov process; Bayes theorem; stopping time; default time; semi-martingale decomposition; credit risk; defaultable bond; last passage time; enlargement of filtration; stochastic filtering theory; information-based asset pricing; market filtration.; Mathematics; Matematik;

    Sammanfattning : The impact of the information concerning an event of interest occurring at a future random time is the main topic of this work. The event can massively influence financial markets and the problem of modelling the information on the time at which it occurs is of crucial importance in financial modelling. LÄS MER

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

    Författare :Zbigniew Michna; Matematisk statistik; []
    Nyckelord :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;

    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

  4. 3. Semi-Markov Models for Insurance and Option Rewards

    Författare :Fredrik Stenberg; Dmitrii Silvestrov; Kimmo Eriksson; Nikolaos Limnios; Mälardalens högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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;

    Sammanfattning : 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. LÄS MER

  5. 4. Essays on Gaussian Probability Laws with Stochastic Means and Variances : With Applications to Financial Economics

    Författare :Anders Eriksson; Lars Forsberg; Menelaos Karanasos; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Statistics; Approximating a function of random variables; Skewness Modeling; Skewed GARCH process; Lévy Process; Option pricing; Statistik; Statistics; Statistik;

    Sammanfattning : This work consists of four articles concerning Gaussian probability laws with stochastic means and variances. The first paper introduces a new way of approximating the probability distribution of a function of random variables. This is done with a Gaussian probability law with stochastic mean and variance. LÄS MER

  7. 5. Some computational aspects of Markov processes

    Författare :Alexey Lindo; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Galton-Watson process; embeddability; Gumbel distribution; Markov chain with a general state space; probability generating functional; infinitely divisible distribution; Levy process; gradient method; Chen-Stein s method; random matrix.; probability generating functional;

    Sammanfattning : .... LÄS MER