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Article: Processus ponctuels en statistique
01/1982;  [show abstract] [hide abstract]
ABSTRACT: We propose a goodnessoffit test for the hypothesis that the observed Poisson point process has a given periodic intensity function against a nonparametric close alternative of known smoothness. We obtain rate and sharp asymptotics for the errors in the minimax setup.Mathematical Methods of Statistics 08/2007; 16(3):217245.  [show abstract] [hide abstract]
ABSTRACT: We consider the problem of hypotheses testing with the basic simple hypothesis: observed sequence of points corresponds to the stationary Poisson process with known intensity. The alternatives are stationary selfexciting point processes. We consider onesided parametric and onesided nonparametric composite alternatives and construct locally asymptotically uniformly most powerful tests. The results of numerical simulations of the tests are presented. Copyright 2006 Board of the Foundation of the Scandinavian Journal of Statistics..Scandinavian Journal of Statistics 01/2006; 33(2):391408. · 1.17 Impact Factor
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