Journal
SCANDINAVIAN JOURNAL OF STATISTICS
Volume 30, Issue 2, Pages 369-384Publisher
BLACKWELL PUBL LTD
DOI: 10.1111/1467-9469.00336
Keywords
extreme values; Haar basis; Poisson process; shape estimation
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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.
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