Maximum entropy approach to central limit distributions of correlated variables

Details Maximum entropy approach to central limit distributions of correlated variables Maximum entropy approach to central limit distributions of correlated variables

2008-04-22

arxiv.org/abs/0804.3477v1

Physics

Condensed Matter

Statistical Mechanics

4 pages 1 fig

Scientific paper

Hilhorst and Schehr recently presented a straight forward computation of limit distributions of sufficiently correlated random numbers \cite{hilhorst}. Here we present the analytical form of entropy which --under the maximum entropy principle (with ordinary constraints)-- provides these limit distributions. These distributions are not $q$-Gaussians and can not be obtained with Tsallis entropy.

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