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Stein estimation of Poisson process intensities

Author: Privault Nicolas   Réveillac Anthony  

Publisher: Springer Publishing Company

ISSN: 1387-0874

Source: Statistical Inference for Stochastic Processes, Vol.12, Iss.1, 2009-02, pp. : 37-53

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Abstract

We construct superefficient estimators of Stein type for the intensity parameter λ > 0 of a Poisson process, using integration by parts and superharmonic functionals on the Poisson space.