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arXiv · 1103.6112

Smoothed extreme value estimators of non-uniform point processes boundaries with application to star-shaped supports estimation

Stéphane Girard·Ludovic Menneteau
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Abstract

We address the problem of estimating the edge of a bounded set in R^d given a random set of points drawn from the interior. Our method is based on a transformation of estimators dedicated to uniform point processes and obtained by smoothing some of its bias corrected extreme points. An application to the estimation of star-shaped supports is presented.

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Stéphane Girard, Ludovic Menneteau. 2011-03-31. Smoothed extreme value estimators of non-uniform point processes boundaries with application to star-shaped supports estimation. https://arxiv.org/abs/1103.6112

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