Multivariate Generalizations of the q--Central Limit Theorem
arXiv:cond-mat/0703533
Abstract
We study multivariate generalizations of the -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} -central limit theorems are proved. Their relevance to the asymptotic scale invariance of some specially correlated systems is studied. A -analog of the classic weak convergence is introduced and its equivalence to the -convergence is proved for .
15 pages