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  1. 1. Perturbed discrete time stochastic models

    Författare :Mikael Petersson; Dmitrii Silvestrov; Ola Hössjer; Nikolaos Limnios; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Renewal equation; Perturbation; Asymptotic expansion; Regenerative process; Risk process; Semi-Markov process; Markov chain; Quasi-stationary distribution; Ruin probability; First hitting time; Solidarity property; Mathematical Statistics; matematisk statistik;

    Sammanfattning : In this thesis, nonlinearly perturbed stochastic models in discrete time are considered. We give algorithms for construction of asymptotic expansions with respect to the perturbation parameter for various quantities of interest. LÄS MER