Asymptotics of the convex hull of spherically symmetric samples

Details

Serval ID
serval:BIB_CB2B891070B3
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Asymptotics of the convex hull of spherically symmetric samples
Journal
Discrete Applied Mathematics
Author(s)
Hashorva E.
ISSN
0166-218X
Publication state
Published
Issued date
2011
Peer-reviewed
Oui
Volume
159
Number
4
Pages
201-211
Language
english
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.
Keywords
Convex hull, Max-domain of attractions, Asymptotic results, Carnal distributions, Extreme value distributions
Web of science
Open Access
Yes
Create date
02/11/2010 8:45
Last modification date
20/08/2019 16:46
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