Central limit theorems for smoothed extreme value estimates of Poisson point processes boundaries

Details Central limit theorems for smoothed extreme value estimates of Poisson point processes boundaries Central limit theorems for smoothed extreme value estimates of Poisson point processes boundaries

2011-03-30

arxiv.org/abs/1103.5884v1

Journal of Statistical Planning and Inference, 135(2), 433-460, 2005

Mathematics

Statistics Theory

Scientific paper

In this paper, we give sufficient conditions to establish central limit theorems for boundary estimates of Poisson point processes. The considered estimates are obtained by smoothing some bias corrected extreme values of the point process. We show how the smoothing leads Gaussian asymptotic distributions and therefore pointwise confidence intervals. Some new unidimensional and multidimensional examples are provided.

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