Sökning: "convergence in probability"

Visar resultat 1 - 5 av 94 avhandlingar innehållade orden convergence in probability.

1. 1. Essays on Time Series Analysis : With Applications to Financial Econometrics

   Författare :Daniel Preve; Rolf Larsson; Bent Nielsen; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; non-Gaussian time series; nonnegative autoregression; robust estimation; strong convergence; realized volatility; volatility forecast; forecast comparison; Diebold-Mariano test; Statistics; Statistik;

   Sammanfattning : This doctoral thesis is comprised of four papers that all relate to the subject of Time Series Analysis.The first paper of the thesis considers point estimation in a nonnegative, hence non-Gaussian, AR(1) model. The parameter estimation is carried out using a type of extreme value estimators (EVEs). LÄS MER

3. 2. Continuous-Time Models in Kernel Smoothing

   Författare :Martin Sköld; Matematisk statistik; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; deconvolution; errors-in-variables; continuous time; dependent data; bandwidth selection; asymptotic variance; Density estimation; kernel smoothing; size bias.; Mathematics; Matematik;

   Sammanfattning : This thesis consists of five papers (Papers A-E) treating problems in non-parametric statistics, especially methods of kernel smoothing applied to density estimation for stochastic processes (Papers A-D) and regression analysis (Paper E). A recurrent theme is to, instead of treating highly positively correlated data as ``asymptotically independent'', take advantage of local dependence structures by using continuous-time models. LÄS MER

4. 3. Ruin probabilities and first passage times for self-similar processes

   Författare :Zbigniew Michna; Matematisk statistik; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Simulation of Ruin Probability; Monte Carlo Method; Skorokhod Topology; Weak Convergence; Rice s Formula; Fluid Model; Risk Model; Scaled Brownian Motion; Long Range Dependence; Fractional Brownian Motion; Renewal Process; Levy Motion; Stable Process; Self-Similar Process; Gaussian Process; Ruin Probability; First Passage Time; Exponential Bound; Picands Constant.; Mathematics; Matematik;

   Sammanfattning : This thesis investigates ruin probabilities and first passage times for self-similar processes. We propose self-similar processes as a risk model with claims appearing in good and bad periods. Then, in particular, we get the fractional Brownian motion with drift as a limit risk process. LÄS MER

5. 4. Asymptotics, weak convergence and duality in population genetics

   Författare :Martina Favero; Henrik Hult; Alison Etheridge; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : This thesis consists of four papers on asymptotic results and stochastic duality for some processes in mathematical population genetics. The focus is on Wright-Fisher diffusions and coalescent processes, which model, respectively, the evolution of frequencies of genetic types and genealogies in a population,and play a key role in inference on genetic data sets. LÄS MER

7. 5. Numerical analysis and simulation of stochastic partial differential equations with white noise dispersion

   Författare :André Berg; David Cohen; Per Åhag; Guillaume Dujardin; Ludovic Goudenège; Umeå universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stochastic partial differential equation; mathematics; numerical analysis; numerical scheme; time integrator; convergence analysis; blowup; critical exponent; nonlinear Schrödinger equation; Manakov equation; Benjamin-Bona-Mahony equation; BBM equation; stochastic; random; dispersion; white noise dispersion; finite difference; pseudospectral; code; matlab; exponential integrator; splitting integrator; convergence in probability; Mathematics; matematik; Numerical Analysis; numerisk analys;

   Sammanfattning : This doctoral thesis provides a comprehensive numerical analysis and exploration of several stochastic partial differential equations (SPDEs). More specifically, this thesis investigates time integrators for SPDEs with white noise dispersion. LÄS MER