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Title Two Simple Hypotheses Testing for Poisson Processes
Type JournalPaper
Keywords inhomogeneous Poisson processes-hypotheses testing-large deviations principle
Abstract We consider the problem of testing of two simple hypotheses concerning the intensity function of a nonhomogeneous Poisson process observed on some increasing sequence of subsets of d-dimensional Euclidian space. In the framework of large samples theory we propose an asymptotically most powerful test and the asymptotics of the power of this test is described with the help of the large deviations principle
Researchers Yu. A. Kutoyants (Second Researcher), Khosrow fazli (First Researcher)