Search for dissertations about: "Stochastic Approximation"

Showing result 1 - 5 of 122 swedish dissertations containing the words Stochastic Approximation.

  2. 1. Generalized Pólya Urns via Stochastic Approximation

    Author : Henrik Renlund; Sven Erick Alm; Svante Janson; Lars Holst; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; stochastic approximation; unstable equilibrium; stable equilibrium; touchpoint; generalized pólya urns; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : .... READ MORE

  4. 2. Analytical Approximation of Contingent Claims

    Author : Karl Larsson; Claus Munk; Nationalekonomiska institutionen; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Option pricing; approximation; stochastic volatility; implied volatility; perturbation; Malliavin calculus; commodities; swaption; swap; HJM model;

    Abstract : This PhD thesis consists of three separate papers. The common theme is methods to calculate analytical approximations for prices of different contingent claims under various model assumptions. The first two papers deals with approximations of standard European options in stochastic volatility models. READ MORE

  5. 3. Infinite-state Stochastic and Parameterized Systems

    Author : Noomene Ben Henda; Parosh Abdulla; Christel Baier; Uppsala universitet; []
    Keywords : program verification; model checking; stochastic games; infinite-state systems; Markov chains; reachability; repeated reachability; parameterized systems; approximation; safety; tree systems;

    Abstract : A major current challenge consists in extending formal methods in order to handle infinite-state systems. Infiniteness stems from the fact that the system operates on unbounded data structure such as stacks, queues, clocks, integers; as well as parameterization. READ MORE

  6. 4. Numerical Complexity Analysis of Weak Approximation of Stochastic Differential Equations

    Author : Raul Tempone Olariaga; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Adaptive methods; a posteriori error estimates; stochastic differential equations; weak approximation; Monte Carlo methods; Malliavin Calculus; HJM model; option price; bond market; stochastic elliptic equation; Karhunen-Loeve expansion; numerical co; Numerical analysis; Numerisk analys;

    Abstract : The thesis consists of four papers on numerical complexityanalysis of weak approximation of ordinary and partialstochastic differential equations, including illustrativenumerical examples. Here by numerical complexity we mean thecomputational work needed by a numerical method to solve aproblem with a given accuracy. READ MORE

  7. 5. Approximating Stochastic Partial Differential Equations with Finite Elements: Computation and Analysis

    Author : Andreas Petersson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Lévy process; Lyapunov equation; white noise; finite element method; multilevel Monte Carlo; Monte Carlo; multiplicative noise; asymptotic mean square stability; stochastic heat equation; covariance operator; weak convergence; generalized Wiener process; numerical approximation; stochastic wave equation; Stochastic partial differential equations;

    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