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

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

2011-03-31

arxiv.org/abs/1103.6112v1

S. Girard & L. Menneteau. "Smoothed extreme value estimators of non-uniform point processes boundaries with application to sta

Statistics

Methodology

Scientific paper

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.

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