Random Polytopes
| Autor(en): | Reitzner, M. | Stichwörter: | Convex hulls; Deviation; Functionals; Limit theorems; Random points; Random polytopes | Erscheinungsdatum: | 2009 | Herausgeber: | Oxford University Press | Journal: | New Perspectives in Stochastic Geometry | Zusammenfassung: | 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. © Oxford University Press 2010. All rights reserved. |
ISBN: | 9780191716393 9780199232574 |
DOI: | 10.1093/acprof:oso/9780199232574.003.0002 | Externe URL: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84920034477&doi=10.1093%2facprof%3aoso%2f9780199232574.003.0002&partnerID=40&md5=3df8850fe59760924b065a99ede4cfb6 |
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