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New Perspectives in Stochastic Geometry$
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Wilfrid S. Kendall and Ilya Molchanov

Print publication date: 2009

Print ISBN-13: 9780199232574

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199232574.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 20 June 2021

Random Polytopes

Random Polytopes

(p.45) 2 Random Polytopes
New Perspectives in Stochastic Geometry

Matthias Reitzner

Oxford University Press

This chapter deals with random polytopes which are the convex hulls of random points. Recent developments concern mainly distributional aspects of functionals of random polytopes: estimates for higher moments, limit theorems, and large deviation inequalities. The geometric tools which led to this progress are the floating body and the visibility regions which are described in detail.

Keywords:   random polytopes, convex hulls, random points, functionals, limit theorems, deviation

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