Smoothed extreme value estimators of non-uniform point processes boundaries with application to star-shaped supports estimation
Methodology
2011-04-01 v1
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.
Keywords
Cite
@article{arxiv.1103.6112,
title = {Smoothed extreme value estimators of non-uniform point processes boundaries with application to star-shaped supports estimation},
author = {Stéphane Girard and Ludovic Menneteau},
journal= {arXiv preprint arXiv:1103.6112},
year = {2011}
}