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We present a new method for estimating the edge of a two-dimensional boundedset, given a finite random set of points drawn from the interior. The estimatoris based both on Haar series and extreme values of the point process. We giveconditions for various kind of convergence and we obtain remarkably differentpossible limit distributions. We propose a method of reducing the negativebias, illustrated by a simulation.

Extreme value and Haar series estimates of point process boundaries