Search for dissertations about: "Mathematics statistics dissertations"

Showing result 1 - 5 of 86 swedish dissertations containing the words Mathematics statistics dissertations.

2. 1. Prostate cancer incidence, treatment and mortality : Empirical longitudinal register-based studies and methods for handling missing data

   Author : Marcus Westerberg; Rolf Larsson; Hans Garmo; Pär Stattin; Jimmy Olsson; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; statistics; mathematics; prostate cancer; missing data; survival analysis; longitudinal models; incidence; treatment; mortality; Mathematical Statistics; Matematisk statistik; Statistics; Statistik; Urologi; Urology; Epidemiologi; Epidemiology;

   Abstract : The diagnostic activity for prostate cancer has increased substantially in Sweden, primarily due to increased use of prostate-specific antigen (PSA) testing in asymptomatic men, and this has led to a large increase in diagnoses. There have also been changes in the diagnostic workup, guidelines, treatment strategies, and more effective treatments have been introduced in different phases of the disease. READ MORE

4. 2. Asymptotics of random matrices and matrix valued processes

   Author : Stefan Israelsson; Kurt Johansson; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Random matrices; singular interaction; spectral distribution; fluctuation limit; distribution valued processes; MATEMATIK; MATHEMATICS; MATEMATIK; matematisk statistik; Mathematical Statistics;

   Abstract : This thesis contains three parts. In the first two papers we consider spectral properties of symmetric matrices with elements consisting of independent Ornstein Uhlenbeck processes. The eigenvalues behave as a particle system on the real line with singular interaction consisting of electrostatic repulsion and a linear restoring force. READ MORE

5. 3. Semi Markov chain Monte Carlo

   Author : Håkan Ljung; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Adaptive simulation; error-in-the-variables; Kullback-Leibler divergence; Markov chain simulation; Markov chain Monte Carlo; semi-regenerative; MATEMATIK; MATHEMATICS; MATEMATIK; matematisk statistik; Mathematical Statistics;

   Abstract : The first paper introduces a new simulation technique, called semi Markov chain Monte Carlo, suitable for estimating the expectation of a fixed function over a distribution π, Eπf(χ). Given a Markov chain with stationary distribution p, for example a Markov chain corresponding to a Markov chain Monte Carlo algorithm, an embedded Markov renewal process is used to divide the trajectory into different parts. READ MORE

6. 4. Symmetry in Randomness : Additive Functionals and Symmetries of Random Trees and Tree-Like Graphs

   Author : Christoffer Olsson; Stephan Wagner; Ralph Neininger; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Random trees; Random graphs; Additive functionals; Automorphisms; Mathematics; Matematik;

   Abstract : Properties of symmetries in random trees and tree-like graphs are explored. The primary structures studied are Galton-Watson trees, unlabeled unordered trees as well as labeled subcritical graphs. READ MORE

7. 5. A Differentiable Approach to Stochastic Differential Equations : the Smoluchowski Limit Revisited

   Author : Haidar Al-Talibi; Astrid Hilbert; Yaozhong Hu; Linnéuniversitetet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; α-stable Lévy noise; Fractional Brownian motion; Girsanov theorem; Mean-field model; Nonlinear stochastic oscillator; Ornstein-Uhlenbeck process; Scaling limit; Second order Itô equation; Time change.; Matematik; Mathematics;

   Abstract : In this thesis we generalize results by Smoluchowski [43], Chandrasekhar[6], Kramers, and Nelson [30]. Their aim is to construct Brownian motion as a limit of stochastic processes with differentiable sample paths by exploiting a scaling limit which is a particular type of averaging studied by Papanicolao [35]. READ MORE