Search for dissertations about: "MATHEMATICS Applied mathematics Mathematical statistics"

Showing result 1 - 5 of 46 swedish dissertations containing the words MATHEMATICS Applied mathematics Mathematical statistics.

  1. 1. 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 : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; 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

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

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

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

    Author : Haidar Al-Talibi; Astrid Hilbert; Francesco Russo; Linnéuniversitetet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; 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

  4. 4. Statistical Analysis of Crests and Maxima in Gaussian Seas

    Author : Jesper Rydén; Matematisk statistik; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Geophysics; physical oceanography; meteorology; Geofysik; programmering; aktuariematematik; fysisk oceanografi; meteorologi; Statistik; operationsanalys; actuarial mathematics; programming; Statistics; operations research; Mathematics; Matematik;

    Abstract : An important problem in ocean engineering is to find distributions for characteristic wave parameters. For wind-generated water waves at deep water, a Gaussian distribution for the wave-surface elevation is considered a reasonable model. READ MORE

  5. 5. Modelling Evolution : From non-life, to life, to a variety of life

    Author : Yu Liu; David J. T. Sumpter; Peter Dittrich; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; NATURAL SCIENCES; NATURAL SCIENCES; Mathematical biology; Biocomplexity; Artificial chemistry; Ecosystem evolution; Origin of life; Self-replication; Prebiotic evolution; Collectively-catalytic; Golden ratio; Tillämpad matematik och statistik; Applied Mathematics and Statistics;

    Abstract : Life is able to replicate itself, e.g., a microorganism is able to divide into two identical ones, and a single plant is able to forest a whole island. READ MORE