1 research outputs found
Extreme value and Haar series estimates of point process boundaries
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