Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-03-20
Physics
Condensed Matter
Statistical Mechanics
15 pages
Scientific paper
We 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 $q>1$.
Tsallis Constantino
Umarov Sabir
No associations
LandOfFree
Multivariate Generalizations of the q--Central Limit Theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Multivariate Generalizations of the q--Central Limit Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multivariate Generalizations of the q--Central Limit Theorem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-381980