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Near optimal thresholding estimation of a Poisson intensity on the real line

Near optimal thresholding estimation of a Poisson intensity on the real line

The purpose of this paper is to estimate the intensity of a Poisson process $N$ by using thresholding rules. In this paper, the intensity, defined as the derivative of the mean measure of $N$ with respect to $ndx$ where $n$ is a fixed parameter, is assumed to be non-compactly supported. …