Invariance principle for the deviation between the probability content and the interior point proportion of a random convex hull

Author:

Massé Bruno

Abstract

The quadratic mean of the deviation between the probability content and the interior point proportion of a random convex hull in is investigated. We obtain, in particular, an explicit and distribution-independent bound.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference14 articles.

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4. Limit theorems for convex hulls

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An Identity Relating Moments of Functionals of Convex Hulls;Discrete & Computational Geometry;2004-07-23

2. On the LLN for the number of vertices of a random convex hull;Advances in Applied Probability;2000-09

3. On the variance of the number of extreme points of a random convex hull;Statistics & Probability Letters;1999-08

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