Search for dissertations about: "Dirichlet distribution"

Showing result 1 - 5 of 13 swedish dissertations containing the words Dirichlet distribution.

2. 1. On Bicompositional Correlation

   Author : Jakob Bergman; Statistiska institutionen; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Joint correlation coefficient; Empirical confidence coefficient; Dirichlet distribution; Correlation; Composition; Compositional data; Random variate generation; Simplex;

   Abstract : A composition is a vector of positive components summing to a constant, usually taken to be 1. Hitherto the research on compositional correlation has mainly focused on the correlation between the components of composition. This thesis is concerned with modelling the correlation between two compositions. READ MORE

4. 2. Stochastic systems with locally defined dynamics

   Author : Anton Muratov; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; point process; sequential adsorption; stopping set; random measure; Polya urn; convergence of empirical measures; bit flipping; recurrence; renewal process; Poisson process; Dirichlet distribution; random matrices; random matrices;

   Abstract : We study three different classes of models of stochastic systems with locally defined dynamics. Our main points of interest are the limiting properties and convergence in these models. The first class is the locally interactive sequential adsorption, or LISA, models. READ MORE

5. 3. Random tournaments and random circuits

   Author : Pontus Andersson; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Poisson-Dirichlet distribution; random circuit decomposition; random tournament; subgraph count; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Abstract : This thesis is devoted to two different topics in the area of probabilistic combinatorics: asymptotic behaviour of subgraph counts in a random tournament and random circuit decompositions of complete graphs.Let Tn be a random tournament on n vertices, chosen uniformly from all 2(n2) such tournaments, and let D be an arbitrary directed graph. READ MORE

6. 4. Reconstruction of Past European Land Cover Based on Fossil Pollen Data : Gaussian Markov Random Field Models for Compositional Data

   Author : Behnaz Pirzamanbein; Matematisk statistik; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Spatial Statistics; Adaptive Markov Chain Monte Carlo; Dirichlet Observation; Confidence Region; Palaeoecology; Past Human Land Use; Stochastic Partial Differential Equation;

   Abstract : The aim of this thesis is to develop statistical models to reconstruct past land cover composition and human land use based on fossil pollen records over Europe for different time periods over the past 6000 years. Accurate maps of past land cover and human land use are needed when studying the interaction between climate and land surface, and the effects of human land use on past climate. READ MORE

7. 5. Barycentric Markov processes and stability of stochastic integrators

   Author : Philip Kennerberg; Matematisk statistik; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; geometric probability; dirichlet processes; Markov processes; stochastic integration; interacting particle systems;

   Abstract : This thesis consists of four papers that broadly concerns two dierent topics. The rsttopic is so-called barycentric Markov processes. By a barycentric Markov process wemean a process that consists of a point/particle system evolving in (discrete) time,whose evolution depends in some way on the mean value of the current points in thesystem. READ MORE