Jump to ContentJump to Main Navigation
New Perspectives in Stochastic Geometry$
Users without a subscription are not able to see the full content.

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

Show Summary Details
Page of

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

Chapter:
(p.45) 2 Random Polytopes
Source:
New Perspectives in Stochastic Geometry
Author(s):

Matthias Reitzner

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199232574.003.0002

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

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .