Berry-Esseen for Free Random Variables

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dc.creatorKargin, Vladislav
dc.date2006-10-02
dc.date2006-10-09
dc.date.accessioned2026-07-07T08:27:00Z
dc.date.available2026-07-07T08:27:00Z
dc.descriptionAn analogue of the Berry-Esseen inequality is proved for the speed of convergence of free additive convolutions of bounded probability measures. The obtained rate of convergence is of the order n^{-1/2}, the same as in the classical case. An example with binomial measures shows that this estimate cannot be improved without imposing further restrictions on convolved measures.
dc.description15 pages, accepted to the Journal of Theoretical Probability, minor typos are corrected in versions 2 and 3
dc.identifierhttps://arxiv.org/abs/math/0610072
dc.identifierhttp://arxiv.org/abs/math/0610072
dc.identifierJournal of Theoretical Probability, 2007, 20, 381-395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137136
dc.subjectProbability
dc.subjectOperator Algebras
dc.subject46L54; 60F05
dc.titleBerry-Esseen for Free Random Variables
dc.typetext

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