The negative association property for the absolute values of random variables equidistributed on a generalized Orlicz ball

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dc.creatorPilipczuk, Marcin
dc.creatorWojtaszczyk, Jakub Onufry
dc.date2008-03-04
dc.date.accessioned2026-07-07T09:24:34Z
dc.date.available2026-07-07T09:24:34Z
dc.descriptionRandom variables equidistributed on convex bodies have received quite a lot of attention in the last few years. In this paper we prove the negative association property (which generalizes the subindependence of coordinate slabs) for generalized Orlicz balls. This allows us to give a strong concentration property, along with a few moment comparison inequalities. Also, the theory of negatively associated variables is being developed in its own right, which allows us to hope more results will be available. Moreover, a simpler proof of a more general result for $\ell_p^n$ balls is given.
dc.description44 pages (sorry)
dc.identifierhttps://arxiv.org/abs/0803.0434
dc.identifierhttp://arxiv.org/abs/0803.0434
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156140
dc.subjectProbability
dc.subjectFunctional Analysis
dc.subject52A20, 60D05
dc.titleThe negative association property for the absolute values of random variables equidistributed on a generalized Orlicz ball
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