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

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

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Article ID: iaor1990666
Country: Israel
Volume: 26
Issue: 2
Start Page Number: 1
End Page Number: 7
Publication Date: Jun 1989
Journal: Journal of Applied Probability
Authors:
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.

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