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The convex hull of a uniform sample from the interior of a simple d-polytope

Published online by Cambridge University Press:  14 July 2016

Barthold F. Van Wel
Barthold F. Van Wel*
Affiliation:
University of Amsterdam
*
∗ Postal address: Department of Mathematics, University of Amsterdam, Roetersstraat 15, 1018 WB Amsterdam, The Netherlands.
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Abstract

An asymptotic expression is given for the expected number of vertices of the convex hull of a uniform sample from the interior of a d-dimensional simple polytope. This extends a result derived by Rényi and Sulanke for sample points in the plane.

Keywords

GEOMETRIC PROBABILITYSIMPLE d-POLYTOPESUNIFORM SAMPLE
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 2 , June 1989 , pp. 259 - 273
Copyright
Copyright © Applied Probability Trust 1989 

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References

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