Projection estimates of point processes boundaries

Details Projection estimates of point processes boundaries Projection estimates of point processes boundaries

2011-03-30

arxiv.org/abs/1103.5938v1

Journal of Statistical Planning and Inference, 116(1):1-15, 2003

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 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.

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