On Estimating the Perimeter Using the Alpha-Shape
Statistics Theory
2015-07-02 v1 Statistics Theory
Abstract
We consider the problem of estimating the perimeter of a smooth domain in the plane based on a sample from the uniform distribution over the domain. We study the performance of the estimator defined as the perimeter of the alpha-shape of the sample. Some numerical experiments corroborate our theoretical findings.
Cite
@article{arxiv.1507.00065,
title = {On Estimating the Perimeter Using the Alpha-Shape},
author = {Ery Arias-Castro and Alberto Rodríguez Casal},
journal= {arXiv preprint arXiv:1507.00065},
year = {2015}
}