On Hypothesis Testing for Poisson Processes. Regular Case
نویسندگان
چکیده
We consider the problem of hypothesis testing in the situation when the first hypothesis is simple and the second one is local onesided composite. We describe the choice of the thresholds and the power functions of the Score Function test, of the General Likelihood Ratio test, of the Wald test and of two Bayes tests in the situation when the intensity function of the observed inhomogeneous Poisson process is smooth with respect to the parameter. It is shown that almost all these tests are asymptotically uniformly most powerful. The results of numerical simulations are presented. MSC 2010 Classification: 62M02, 62F03, 62F05.
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