Properties of convergence of nonextensive statistical distribution to   the Levy distribution
  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. 
Sumiyoshi Abe (1) and A. K. Rajagopal (2)((1)College of Science and   Technology, Nihon University, Funabashi, Chiba, Japan ...