Search for dissertations about: "Gaussian fields"
Showing result 1 - 5 of 51 swedish dissertations containing the words Gaussian fields.
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1. Gaussian Bridges : Modeling and Inference
Abstract : This thesis consists of a summary and five papers, dealing with the modeling of Gaussian bridges and membranes and inference for the α-Brownian bridge.In Paper I we study continuous Gaussian processes conditioned that certain functionals of their sample paths vanish. We deduce anticipative and non-anticipative representations for them. READ MORE
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2. Crossings and maxima in Gaussian fields and seas
Abstract : In this thesis the focus is on crossing points in random fields and the probability distributions of various crossing variables in different applications. The crossing points are generalisations to random fields of points of level crossings by stochastic processes. READ MORE
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3. Scalable Bayesian spatial analysis with Gaussian Markov random fields
Abstract : Accurate statistical analysis of spatial data is important in many applications. Failing to properly account for spatial autocorrelation may often lead to false conclusions. READ MORE
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4. Spatial Mixture Models with Applications in Medical Imaging and Spatial Point Processes
Abstract : Finite mixture models have proven to be a great tool for both modeling non-standard probability distributions and for classification problems (using the latent variable interpretation). In this thesis we are building spatial models by incorporating spatially dependent categorical latent random fields in a hierarchical manner similar to that of finite mixture models. READ MORE
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5. Spatio-Temporal Estimation for Mixture Models and Gaussian Markov Random Fields - Applications to Video Analysis and Environmental Modelling
Abstract : In this thesis computationally intensive methods are used to estimate models and to make inference for large, spatio-temporal data sets. The thesis is divided into two parts: the first two papers are concerned with video analysis, while the last three papers model and investigate environmental data from the Sahel area in northern Africa. READ MORE