Smoothed extreme value estimators of non-uniform point processes boundaries with application to star-shaped supports estimation
Résumé
We address the problem of estimating the edge of a bounded set in $\Mathbb{R}^d$ 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.