Search for dissertations about: "MATEMATIK Tillämpad matematik Matematisk statistik"

Showing result 1 - 5 of 18 swedish dissertations containing the words MATEMATIK Tillämpad matematik Matematisk statistik.

2. 1. Generalized Vandermonde matrices and determinants in electromagnetic compatibility

   Author : Karl Lundengård; Sergei Silvestrov; Dietrich von Rosen; Mälardalens högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Abstract : Matrices whose rows (or columns) consists of monomials of sequential powers are called Vandermonde matrices and can be used to describe several useful concepts and have properties that can be helpful for solving many kinds of problems. In this thesis we will discuss this matrix and some of its properties as well as a generalization of it and how it can be applied to curve fitting discharge current for the purpose of ensuring electromagnetic compatibility. READ MORE

4. 2. Extreme points of the Vandermonde determinant in numerical approximation, random matrix theory and financial mathematics

   Author : Asaph Keikara Muhumuza; Sergei Silvestrov; Anatoliy Malyarenko; Karl Lundengård; Milica Rancic; Olga Liivapuu; Mälardalens högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Abstract : This thesis discusses the extreme points of the Vandermonde determinant on various surfaces, their applications in numerical approximation, random matrix theory and financial mathematics. Some mathematical models that employ these extreme points such as curve fitting, data smoothing, experimental design, electrostatics, risk control in finance and method for finding the extreme points on certain surfaces are demonstrated. READ MORE

5. 3. Nelson-type Limits for α-Stable Lévy Processes

   Author : Haidar Al-Talibi; Astrid Hilbert; Francesco Russo; Linnéuniversitetet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Ornstein-Uhlenbeck position process; α-stable Lévy noise; scaling limits; time change; stochastic Newton equations; Mathematical statistics; Matematisk statistik; Applied mathematics; Tillämpad matematik; Mathematics; Matematik;

   Abstract : Brownian motion has met growing interest in mathematics, physics and particularly in finance since it was introduced in the beginning of the twentieth century. Stochastic processes generalizing Brownian motion have influenced many research fields theoretically and practically. READ MORE

6. 4. Topics in Human Gene Mapping

   Author : Azra Kurbasic; Matematisk statistik; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; actuarial mathematics; Statistik; programming; Statistics; Mathematics; Naturvetenskap; Natural science; hidden Markov model; linkage analysis; Human genome; disease gene; programmering; aktuariematematik; operationsanalys; operations research; Matematik;

   Abstract : This thesis is interdisciplinary between Mathematical Statistics, Genetics, and Medicine. It mainly consists of topics in mathematical modelling of the correlation of inheritance of genes and disease in a family, a method called linkage analysis. It is organized as follows. READ MORE

7. 5. On Confidence Intervals and Two-Sided Hypothesis Testing

   Author : Måns Thulin; Silvelyn Zwanzig; Burkhardt Seifert; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical Statistics; Matematisk statistik;

   Abstract : This thesis consists of a summary and six papers, dealing with confidence intervals and two-sided tests of point-null hypotheses.In Paper I, we study Bayesian point-null hypothesis tests based on credible sets. A decision-theoretic justification for tests based on central credible intervals is presented. READ MORE