Author:
Calka Pierre,Schreiber Tomasz
Abstract
In this paper we establish large deviation results on the number of extreme points of a homogeneous Poisson point process in the unit ball of R
d
. In particular, we deduce an almost-sure law of large numbers in any dimension. As an auxiliary result we prove strong localization of the extreme points in an annulus near the boundary of the ball.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Cited by
3 articles.
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