2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/16168It 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.7 pagesStatistical MechanicsProperties of convergence of nonextensive statistical distribution to the Levy distributiontext