Sökning: "Picands Constant."

Hittade 1 avhandling innehållade orden Picands Constant..

  1. 1. 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