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An Applied Investigation Of Gaussian Markov Random Fields, Jessica Lyn Olsen
An Applied Investigation Of Gaussian Markov Random Fields, Jessica Lyn Olsen
Theses and Dissertations
Recently, Bayesian methods have become the essence of modern statistics, specifically, the ability to incorporate hierarchical models. In particular, correlated data, such as the data found in spatial and temporal applications, have benefited greatly from the development and application of Bayesian statistics. One particular application of Bayesian modeling is Gaussian Markov Random Fields. These methods have proven to be very useful in providing a framework for correlated data. I will demonstrate the power of GMRFs by applying this method to two sets of data; a set of temporal data involving car accidents in the UK and a set of spatial …