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

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