2 papers
stat.ME2011
Smoothed extreme value estimators of non-uniform point processes boundaries with application to star-shaped supports estimation
Stéphane Girard, Ludovic Menneteau
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 de…
math.ST2011
Central limit theorems for smoothed extreme value estimates of Poisson point processes boundaries
Stéphane Girard, Ludovic Menneteau
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 smoothi…