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arxiv: cond-mat/0003303 · v1 · submitted 2000-03-17 · ❄️ cond-mat.stat-mech

Properties of convergence of nonextensive statistical distribution to the Levy distribution

classification ❄️ cond-mat.stat-mech
keywords distributionnonextensivestatisticalconcomitantlyconvergencecorrectiondeduceddemonstration
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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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