On the oscillation of the expected number of extreme points of a random set-Reference-Cited by-同舟云学术

On the oscillation of the expected number of extreme points of a random set

Published:1991-04 Issue:4 Volume:11 Page:281-286
ISSN:0167-7152
Container-title:Statistics & Probability Letters
language:en
Short-container-title:Statistics & Probability Letters

Author:

Devroye Luc

Funder

Fonds pour la Formation de Chercheurs et l'Aide à la Recherche

Natural Sciences and Engineering Research Council of Canada

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference20 articles.

1. Convex bodies, economic cap coverings, random polytopes;Bárány;Mathematika,1988

2. The Simplex Method – A Probabilistic Analysis;Borgwardt,1987

3. Borgwardt, K.H., N. Gaffke, M. Jünger and G. Reinelt (1989), Computing the convex hull in the Euclidean plane in linear expected time, Rept. No. 139, Inst. für Math., Univ. Augsburg (Augsburg, Germany)

4. Convergence in mean of some characteristics of the convex hull;Brozius;Adv. in Appl. Probab.,1989

5. Zuffallige Polyeder, eine Obsersicht;Buchta,1985

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