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Projection estimates of point processes boundaries

Published 30 Mar 2011 in stat.ME, math.ST, and stat.TH | (1103.5938v1)

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 C1 bases and on extreme points of the point process. We give conditions on the Dirichlet's kernel associated to the C1 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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Authors (2)

  1. Stéphane Girard 
  2. Pierre Jacob 

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