On hypothesis tests for disk-type intensities of spatial poisson processes

Christian Farinetto

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 9, 4353-4368

Abstract: We consider the problem of testing whether realizations of a spatial Poisson process come from a circular intensity model or from an elliptical intensity model. We describe the behavior of the Generalized Likelihood Ratio and Wald tests, in the asymptotics of large samples. The power functions are studied under local alternatives and results of numerical simulations comparing them to the Neyman–Pearson envelope are presented.

Date: 2017
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DOI: 10.1080/03610926.2015.1082590

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