Geometry of the Central Limit Theorem in the Nonextensive Case
Statistical Mechanics
2009-11-13 v1
Abstract
We uncover geometric aspects that underlie the sum of two independent stochastic variables when both are governed by q-Gaussian probability distributions. The pertinent discussion is given in terms of random vectors uniformly distributed on a p-sphere.
Keywords
Cite
@article{arxiv.0901.4621,
title = {Geometry of the Central Limit Theorem in the Nonextensive Case},
author = {C. Vignat and A. Plastino},
journal= {arXiv preprint arXiv:0901.4621},
year = {2009}
}
Comments
3 figures