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

Part of: General convexity Multivariate analysis Geometric probability and stochastic geometry

Published online by Cambridge University Press:  14 July 2016

Bruno Massé
Bruno Massé*
Affiliation:
Université du Littoral, Dunkerque
*
∗Postal address: Université du Littoral, 9, Quai de la Citadelle – B.P. 1022, 59375 – Dunkerque Cedex 1, France.
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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.

Keywords

MULTIDIMENSIONAL EXTREME VALUES

MSC classification

Primary: 60D05: Geometric probability and stochastic geometry
Secondary: 52A22: Random convex sets and integral geometry 62H99: None of the above, but in this section
Type
Research Papers
Information
Journal of Applied Probability , Volume 32 , Issue 4 , December 1995 , pp. 1041 - 1047
Copyright
Copyright © Applied Probability Trust 1995 

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