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Random polytopes in a ball

Published online by Cambridge University Press:  14 July 2016

C. Buchta  and
J. Müller
C. Buchta*
Affiliation:
Technische Universität Wien
J. Müller*
Affiliation:
Technische Universität Wien
*
∗Postal address: Institut für Analysis, Technische Mathematik und Versicherungsmathematik, Technische Universität Wien, Gusshausstrasse 27-29, A-1040 Wien, Austria.
∗Postal address: Institut für Analysis, Technische Mathematik und Versicherungsmathematik, Technische Universität Wien, Gusshausstrasse 27-29, A-1040 Wien, Austria.
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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.

Keywords

APPROXIMATION OF CONVEX BODIES
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 4 , December 1984 , pp. 753 - 762
Copyright
Copyright © Applied Probability Trust 1984 

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