62M05, inhomogeneous Poisson processes, hypotheses testing, first and second order efficiency, locally asymptotically uniformly most powerful test,

No abstract

In this work, based on a realization of an inhomogeneous Poisson process whose intensity function depends on an unknown real parameter, we test a simple null hypothesis against a sequence of close (contiguous) one-sided alternatives. The main object is to obtain the asymptotic deficiency of the score test with respect to the Neyman-Pearson test.