High Quality Content by WIKIPEDIA articles! The Tsallis distribution, also kown as a q-Gaussian, is a probability distribution arising from the optimisation of the Tsallis entropy. It is essentially a simple reparametrization of the Student's t-distribution introduced by W. Gosset in 1908 to describe small sample statistics. In Gosset's original presentation the degrees of freedom parameter ? was constrained to be a positive integer related to the sample size, but it is readily observed that Gosset's density function is valid for all real values of ?.

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