Properties of convergence of nonextensive statistical distribution to the Levy distribution

Preprint

17 March 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0003303

Abstract

It is shown that the distribution derived from the principle of maximum Tsallis entropy is a superposable Levy-type distribution. Concomitantly, the leading order correction to the limit distribution is also deduced. This demonstration fills an important gap in the derivation of the Levy-stable distribution from the nonextensive statistical framework.

Keywords

PROPERTIES OF CONVERGENCE
STATISTICAL DISTRIBUTION
NONEXTENSIVE STATISTICAL
LEVY DISTRIBUTION
ENTROPY

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Version 1, 2000-03-17, ArXiv

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