Random polytopes in a ball-Reference-Cited by-同舟云学术

Random polytopes in a ball

Published:1984-12 Issue:4 Volume:21 Page:753-762
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Buchta C.,Müller J.

Abstract

The convex hull of n random points chosen independently and uniformly from a d-dimensional ball is a convex polytope. Its expected surface area, its expected mean width and its expected number of facets are explicitly determined.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference31 articles.

1. �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten. II

2. Sur l'enveloppe convexe des nuages de points aléatoires dans ℝn;Raynaud;J. Appl. Prob.,1970

3. A note on recent research in geometrical probability

4. �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten

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