Sökning: "Andreas Nordvall Lagerås"

Hittade 2 avhandlingar innehållade orden Andreas Nordvall Lagerås.

  1. 1. Markov Chains, Renewal, Branching and Coalescent Processes : Four Topics in Probability Theory

    Författare :Andreas Nordvall Lagerås; Thomas Höglund; Ingemar Kaj; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical statistics; Matematisk statistik; matematisk statistik; Mathematical Statistics;

    Sammanfattning : This thesis consists of four papers.In paper 1, we prove central limit theorems for Markov chains under (local) contraction conditions. As a corollary we obtain a central limit theorem for Markov chains associated with iterated function systems with contractive maps and place-dependent Dini-continuous probabilities. LÄS MER

  3. 2. Four applications of stochastic processes : Contagious disease, credit risk, gambling and bond portfolios

    Författare :Patrik Andersson; Andreas Nordvall Lagerås; Håkan Andersson; Stewart N. Ethier; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Stochastic processes; Mathematical statistics; Matematisk statistik; Mathematical Statistics; matematisk statistik;

    Sammanfattning : This thesis consists of four papers on applications of stochastic processes. In Paper I we study an open population SIS (Susceptible - Infective - Susceptible) stochastic epidemic model from the time of introduction of the disease, through a possible outbreak and to extinction. The analysis uses coupling arguments and diffusion approximations. LÄS MER