Extreme value and Haar series estimates of point process boundaries

Details Extreme value and Haar series estimates of point process boundaries Extreme value and Haar series estimates of point process boundaries

2011-03-30

arxiv.org/abs/1103.5947v1

Scandinavian Journal of Statistics, 30(2):369-384, 2003

Statistics

Methodology

Scientific paper

We present a new method for estimating the edge of a two-dimensional bounded set, given a finite random set of points drawn from the interior. The estimator is based both on Haar series and extreme values of the point process. We give conditions for various kind of convergence and we obtain remarkably different possible limit distributions. We propose a method of reducing the negative bias, illustrated by a simulation.

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