Prior Measure for Nonextensive Entropy

Details Prior Measure for Nonextensive Entropy Prior Measure for Nonextensive Entropy

2004-10-28

arxiv.org/abs/cond-mat/0410738v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 2 pictures

Scientific paper

We show that if one uses the invariant form of the Boltzmann-Shannon continuous entropy, it is possible to obtain the generalized Pareto-Tsallis density function, using an appropriate "prior" measure m_{q}(x) and a "Boltzman constraint" which formally is equivalent to the Tsallis q-average constraint on the random variable X. We derive the Tsallis prior function and study its scaling asymptotic behavior. When the entropic index q tends to 1, m_{q}(x) tends to 1 for all values of x as this should be.

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