Search for dissertations about: "probability theory error analysis"

Showing result 1 - 5 of 48 swedish dissertations containing the words probability theory error analysis.

  2. 1. Feature Informativeness, Curse-of-Dimensionality and Error Probability in Discriminant Analysis

    Author : Tatjana Pavlenko; Matematisk statistik; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Statistics; Matematik; Mathematics; feature selection; Discriminant analysis; feature informativeness; growing dimension assymptotics; operations research; operationsanalys; programmering; aktuariematematik; programming; actuarial mathematics; Statistik; Multivariate analysis; MATHEMATICS;

    Abstract : This thesis is based on four papers on high-dimensional discriminant analysis. Throughout, the curse-of-dimensionality effect on the precision of the discrimination performance is emphasized. A growing dimension asymptotic approach is used for assessing this effect and the limiting error probability are taken as the performance criteria. READ MORE

  4. 2. 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

  5. 3. Aggregating Case Studies of Vehicle Crashes by Means of Causation Charts : An Evaluation and Revision of the Driving Reliability and Error Analysis Method

    Author : Jesper Sandin; Per Lövsund; Chalmers University of Technology; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; Accident; Cause; Classification; Characteristics; Driver; Error; 81 Road: Accidents; 81 Road: Accidents; 841 Road: Road user behaviour; 841 Road: Road user behaviour;

    Abstract : There is a need for increased knowledge about causes to motor-vehicle crashes and their prevention. Multidisciplinary in-depth case studies can provide detailed causation data that is otherwise unattainable. Such data might allow the formulation of hypotheses of causes and causal relationships for further study. READ MORE

  6. 4. Two-Barrier Problems in Applied Probability: Algorithms and Analysis

    Author : Mats Pihlsgård; Matematisk statistik; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Statistics; operations research; programming; actuarial mathematics; Statistik; Matematik; Mathematics; Naturvetenskap; Natural science; Reflection; Stochastic processes; Applied probability; Queueing; operationsanalys; programmering; aktuariematematik;

    Abstract : This thesis consists of five papers (A-E). In Paper A, we study transient properties of the queue length process in various queueing settings. We focus on computing the mean and the Laplace transform of the time required for the queue length starting at $x0. We define the loss rate due to the reflection. READ MORE

  7. 5. Topics in Simulation and Stochastic Analysis

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

    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