Projection estimates of point processes boundaries
Methodology
2011-03-31 v1 Statistics Theory
Statistics Theory
Abstract
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 projections on C^1 bases and on extreme points of the point process. We give conditions on the Dirichlet's kernel associated to the C^1 bases for various kinds of convergence and asymptotic normality. We propose a method for reducing the negative bias and illustrate it by a simulation.
Keywords
Cite
@article{arxiv.1103.5938,
title = {Projection estimates of point processes boundaries},
author = {Stéphane Girard and Pierre Jacob},
journal= {arXiv preprint arXiv:1103.5938},
year = {2011}
}