Comparison of the scan and the average likelihood ratio in Gaussian mean regression Rutilius Taurus Aemilianus the customer

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Comparison of the scan and the average likelihood ratio in Gaussian mean regression Rutilius Taurus Aemilianus the customerMaster's Thesis from the year 2013 in the subject Mathematics Stochastics, grade: 1. 3, University of Gttingen (Institut fr Mathematische Stochastik), language: English, abstract: The present thesis is devoted to the problem of detecting a signal with an unknown spatial extent against a noisy background. This is modelled within the framework of Gaussian mean regression. We compare performances of the maximum likelihood ratio (scan) statistic, the