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On the variance of the number of extreme points of a random convex hull

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Publication:1962184
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DOI10.1016/S0167-7152(98)00298-3zbMath0955.60004MaRDI QIDQ1962184

Bruno Massé

Publication date: 16 February 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)


zbMATH Keywords

varianceconvex hull


Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)




Cites Work

  • On the oscillation of the expected number of extreme points of a random set
  • Distribution-independent properties of the convex hull of random points
  • Limit theorems for convex hulls
  • Principes d'invariance pour la probabilité d'un dilaté de l'enveloppe convexe d'un échantillon. (Invariance principles for the probability of a dilation of the convex hull of a sample)
  • On the asymptotic distribution of the area outside a random convex hull in a disk
  • The Volume of a Tetrahedron whose Vertices are Chosen at Random in the Interior of a Parent Tetrahedron
  • Invariance principle for the deviation between the probability content and the interior point proportion of a random convex hull
  • Random approximation of convex sets*
  • The convex hull of a random set of points




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