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- W2967509957 abstract "We consider the problem of localization of a Poisson source using observations of inhomogeneous Poisson processes. We assume that k detectors are distributed on the plane and each detector generates observations of the Poisson processes, whose intensity functions depend on the position of the source. We study asymptotic properties of the maximum likelihood and Bayesian estimators of the source position on the plane assuming that the amplitude of the intensity functions are large. We show that under regularity conditions these estimators are consistent, asymptotically normal and asymptotically efficient in the minimax mean-square sense. Then we propose some simple consistent estimators and these estimators are further used to construct asymptotically efficient One-step MLE-process." @default.
- W2967509957 created "2019-08-22" @default.
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- W2967509957 date "2019-08-10" @default.
- W2967509957 modified "2023-10-02" @default.
- W2967509957 title "Poisson source localization on the plane: the smooth case" @default.
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- W2967509957 doi "https://doi.org/10.1007/s00184-019-00738-1" @default.
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