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Properties of convergence of nonextensive statistical distribution to the Levy distribution

Sumiyoshi Abe·A. K. Rajagopal
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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.

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Sumiyoshi Abe, A. K. Rajagopal. 2000-03-17. Properties of convergence of nonextensive statistical distribution to the Levy distribution. https://arxiv.org/abs/cond-mat/0003303

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