POISSON POLYTOPES

DC ElementWertSprache
dc.contributor.authorBarany, Imre
dc.contributor.authorReitzner, Matthias
dc.date.accessioned2021-12-23T16:19:41Z-
dc.date.available2021-12-23T16:19:41Z-
dc.date.issued2010
dc.identifier.issn00911798
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/13259-
dc.description.abstractWe prove the central limit theorem for the volume and the f-vector of the Poisson random polytope Pi(eta) in a fixed convex polytope P subset of R(d) Here, Pi(eta) is the convex hull of the intersection of a Poisson process X of intensity eta with P
dc.description.sponsorshipEuropean Network PHDEuropean Commission [MCRN-511953]; Hungarian National Foundation [T 60427, T 62321]; Supported in part by the European Network PHD, MCRN-511953; Supported by Hungarian National Foundation Grants T 60427 and T 62321
dc.language.isoen
dc.publisherINST MATHEMATICAL STATISTICS
dc.relation.ispartofANNALS OF PROBABILITY
dc.subjectAPPROXIMATION
dc.subjectapproximation of convex bodies
dc.subjectBODY
dc.subjectCENTRAL LIMIT-THEOREMS
dc.subjectCLT
dc.subjectCONVEX-BODIES
dc.subjectdependency graph
dc.subjectFUNCTIONALS
dc.subjectHULLS
dc.subjectMathematics
dc.subjectPOINTS
dc.subjectRandom polytopes
dc.subjectStatistics & Probability
dc.titlePOISSON POLYTOPES
dc.typejournal article
dc.identifier.doi10.1214/09-AOP514
dc.identifier.isiISI:000280387200007
dc.description.volume38
dc.description.issue4
dc.description.startpage1507
dc.description.endpage1531
dc.publisher.place3163 SOMERSET DR, CLEVELAND, OH 44122 USA
dcterms.isPartOf.abbreviationAnn. Probab.
dcterms.oaStatushybrid, Green Submitted, Green Accepted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidReMa759-
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