Multivariate Generalizations of the q--Central Limit Theorem

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dc.creatorUmarov, Sabir
dc.creatorTsallis, Constantino
dc.date2007-03-20
dc.date.accessioned2026-07-07T07:53:00Z
dc.date.available2026-07-07T07:53:00Z
dc.descriptionWe study multivariate generalizations of the $q$-central limit theorem, a generalization of the classical central limit theorem consistent with nonextensive statistical mechanics. Two types of generalizations are addressed, more precisely the {\it direct} and {\it sequential} $q$-central limit theorems are proved. Their relevance to the asymptotic scale invariance of some specially correlated systems is studied. A $q$-analog of the classic weak convergence is introduced and its equivalence to the $q$-convergence is proved for $q>1$.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0703533
dc.identifierhttp://arxiv.org/abs/cond-mat/0703533
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126089
dc.subjectStatistical Mechanics
dc.titleMultivariate Generalizations of the q--Central Limit Theorem
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