Interpretation of the Nonextensivity Parameter<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">q</mml:mi></mml:math>in Some Applications of Tsallis Statistics and Lévy Distributions

The nonextensivity parameter q occurring in some of the applications of Tsallis statistics (known also as index of the corresponding Levy distribution) is shown to be given, in the q>1 case, entirely by the fluctuations of the parameters of the usual exponential distribution.