On the peeling procedure applied to a Poisson point process
Y. Davydov, A. Nagaev, and A. Philippe
Source: Adv. in Appl. Probab. Volume 42, Number 3
(2010), 620-630.
Abstract
In this paper we focus on the asymptotic properties of the sequence of convex
hulls which arise as a result of a peeling procedure applied to the convex hull
generated by a Poisson point process. Processes of the considered type are
tightly connected with empirical point processes and stable random vectors.
Results are given about the limit shape of the convex hulls in the case of a
discrete spectral measure. We give some numerical experiments to illustrate the
peeling procedure for a larger class of Poisson point processes.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aap/1282924056
Digital Object Identifier: doi:10.1239/aap/1282924056
Zentralblatt MATH identifier: 05820046
Mathematical Reviews number (MathSciNet): MR2779552
References
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