On the mean width of random polytopes
type: Item
instance of: scholarly article
title: On the mean width of random polytopes
zbMATH Open document ID: 0662.52003
DOI: 10.1007/BF00340011
author: Josef S. Müller
publication date: 1989-01-01T00:00:00Z
review text: On the boundary of a \(d\)-dimensional convex body a probability distribution with a positive, uniformly continuous density function \(g\) is given. The convex hull of \(n\) points chosen independently according to \(g\) is a random polytope. The asymptotic behaviour \((n\to \infty)\) of the expected value of the mean width of the random polytope is determined.
Mathematics Subject Classification ID: 52A22
Mathematics Subject Classification ID: 60D05
zbMATH DE Number: 4082399
zbMATH Keywords: mean width
zbMATH Keywords: random polytope
MaRDI profile type: Publication
cites work: Q3704527
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published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4082399