Asymptotics of the convex hull of spherical samples
Probability
2014-12-30 v1 Other Statistics
Abstract
In this paper we consider the convex hull of a spherically symmetric sample in . Our main contributions are some new asymptotic results for the expectation of the number of vertices, number of facets, area and the volume of the convex hull assuming that the marginal distributions are in the Gumbel max-domain of attraction. Further, we briefly discuss two other models assuming that the marginal distributions are regularly varying or -regularly varying.
Keywords
Cite
@article{arxiv.1412.7831,
title = {Asymptotics of the convex hull of spherical samples},
author = {Enkelejd Hashorva},
journal= {arXiv preprint arXiv:1412.7831},
year = {2014}
}
Comments
Proposition 3.2 is new in this version