Justification of Power-Law Canonical Distributions Based on Generalized   Central Limit Theorem
  A self-consistent thermodynamic framework is presented for power-law canonical distributions based on the generalized central limit theorem by extending the discussion given by Khinchin for deriving Gibbsian canonical ensemble theory. The thermodynamic Legendre transform structure is invoked in establishing its connection to nonextensive statistical mechanics. 
Sumiyoshi Abe (1) and A. K. Rajagopal (2)((1)College of Science and   Technology, Nihon University, Funabshi, Chiba, Japan,(...