Search for dissertations about: "Stochastic theory"
Showing result 1 - 5 of 345 swedish dissertations containing the words Stochastic theory.
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1. Stochastic Epidemic Models : Different Aspects of Heterogeneity
Abstract : This thesis is concerned with the study of stochastic epidemic models for infectious diseases in heterogeneous populations. All diseases treated are of SIR type, i.e. individuals are either Susceptible, Infectious or Recovered (and immune). READ MORE
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2. Four applications of stochastic processes : Contagious disease, credit risk, gambling and bond portfolios
Abstract : 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. READ MORE
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3. Topics in Simulation and Stochastic Analysis
Abstract : Paper A investigates how to simulate a differentiated mean in cases where interchanging differentiation and expectation is not allowed. Three approaches are available, finite differences (FD's), infinitesimal perturbation analysis (IPA) and the likelihood ratio score function (LRSF) method. READ MORE
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4. Approximating Stochastic Partial Differential Equations with Finite Elements: Computation and Analysis
Abstract : Stochastic partial differential equations (SPDE) must be approximated in space and time to allow for the simulation of their solutions. In this thesis fully discrete approximations of such equations are considered, with an emphasis on finite element methods combined with rational semigroup approximations. READ MORE
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5. Inference techniques for stochastic nonlinear system identification with application to the Wiener-Hammerstein models
Abstract : Stochastic nonlinear systems are a specific class of nonlinear systems where unknown disturbances affect the system's output through a nonlinear transformation. In general, the identification of parametric models for this kind of systems can be very challenging. READ MORE