Article contents
Large deviation probabilities for the number of vertices of random polytopes in the ball
Published online by Cambridge University Press: 01 July 2016
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 Rd. 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.
MSC classification
- Type
- Stochastic Geometry and Statistical Applications
- Information
- Copyright
- Copyright © Applied Probability Trust 2006
References
- 7
- Cited by