Asymptotics of the convex hull of spherically symmetric samples

Authors:
Enkelejd Hashorva
Affiliations:
-
Venue:
Discrete Applied Mathematics
Year:
2011

Citing 3
Cited 0

Convex hulls of samples from spherically symmetric distributions

Discrete Applied Mathematics
Modelling extremal events: for insurance and finance

Modelling extremal events: for insurance and finance
An Identity Relating Moments of Functionals of Convex Hulls

Discrete & Computational Geometry

Quantified Score

Hi-index	0.04

Visualization

Abstract

In this paper we consider the convex hull of a spherically symmetric sample in R^d. 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 O-regularly varying.