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Some remarks on the interpretation of degree of nonextensivity

G. Wilk·Z. Wlodarczyk
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Abstract

Recently we have demostrated that the nonextensitivity parameter q occuring in some applications of Tsallis statistics (known also as index of the corresponding Lévy distribution) is, in the q>1 case, given entirely by the fluctuations of the parameters of the usual exponential distribution. We show here that this interpretation is valid also for the q<1 case. The parameter q is therefore a measure of fluctuations of the parameters of the usual exponential distribution.

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G. Wilk, Z. Wlodarczyk. 2000-02-14. Some remarks on the interpretation of degree of nonextensivity. https://arxiv.org/abs/hep-ph/0002145

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