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

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

Stéphane Girard and Ludovic Menneteau
Communications in Statistics - Theory and Methods, Vol.37(6), pp.881-897
01/2008

Abstract

Extreme values Functional estimators Point process Shape estimation MSC: 62G32; 62M30; 62G05; 62G07
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.
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