Sökning: "Stochastic approximation"

Visar resultat 11 - 15 av 122 avhandlingar innehållade orden Stochastic approximation.

  1. 11. Numerical analysis for random processes and fields and related design problems

    Författare :Konrad Abramowicz; Oleg Seleznjev; Krzysztof Podgórski; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stochastic processes; random fields; approximation; numerical integration; Hermite splines; piecewise linear interpolator; local stationarity; point singularity; stratified Monte Carlo quadrature; Asian option; Monte Carlo pricing method; Lévy market models; Mathematical statistics; Matematisk statistik; Mathematical Statistics; matematisk statistik;

    Sammanfattning : In this thesis, we study numerical analysis for random processes and fields. We investigate the behavior of the approximation accuracy for specific linear methods based on a finite number of observations. Furthermore, we propose techniques for optimizing performance of the methods for particular classes of random functions. LÄS MER

  3. 12. Topics in Simulation and Stochastic Analysis

    Författare :Mikael Signahl; Matematisk statistik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; stochastic heat equation; stochastic wave equation; error rates; truncated Levy process; discontinuities; optimal decay rate; digital communication system;

    Sammanfattning : 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. LÄS MER

  4. 13. Inference techniques for stochastic nonlinear system identification with application to the Wiener-Hammerstein models

    Författare :Giuseppe Giordano; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; nonlinear systems; system identification; stochastic; Maximum Likelihood; Wiener-Hammerstein; Monte Carlo; Newton s method;

    Sammanfattning : 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. LÄS MER

  5. 14. Exponential integrators for stochastic partial differential equations

    Författare :Rikard Anton; David Cohen; Christian Engström; Stig Larsson; Annika Lang; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Stochastic partial differential equations; numerical methods; stochastic exponential integrator; strong convergence; trace formulas;

    Sammanfattning : Stochastic partial differential equations (SPDEs) have during the past decades become an important tool for modeling systems which are influenced by randomness. Because of the complex nature of SPDEs, knowledge of efficient numerical methods with good convergence and geometric properties is of considerable importance. LÄS MER

  7. 15. Approximation and Calibration of Stochastic Processes in Finance

    Författare :Jonas Kiessling; Anders Szepessy; Jonathan Goodman; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis is a study of approximation and calibration of stochastic processes with applications in finance. It consists of an introduction and four research papers. The introduction is as an overview of the role of mathematics incertain areas of finance. LÄS MER