Extreme values and kernel estimates of point processes boundaries

Details Extreme values and kernel estimates of point processes boundaries Extreme values and kernel estimates of point processes boundaries

2011-03-30

arxiv.org/abs/1103.5931v1

ESAIM: Probability and Statistics, 8, 150-168, 2004

Statistics

Methodology

Scientific paper

We present a 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 a Parzen-Rosenblatt kernel and extreme values of point processes. We give conditions for various kinds of convergence and asymptotic normality. We propose a method of reducing the negative bias and edge effects, illustrated by a simulation.

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