Properties of convergence of nonextensive statistical distribution to the Levy distribution
Sumiyoshi Abe, A. K. Rajagopal
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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