Smoothed Extreme Value Estimators of Non-Uniform Point Processes Boundaries with Application to Star-Shaped Supports Estimation |
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| Authors: | Stéphane Girard Ludovic Menneteau |
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| Institution: | 1. Team MISTIS, INRIA Rh?ne-Alpes , Montbonnot, France stephane.girard@inrialpes.fr;3. Université Montpellier 2 , Montpellier, France |
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| Abstract: | We address the problem of estimating the edge of a bounded set in ? 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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| Keywords: | Extreme values Functional estimators Point process Shape estimation |
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