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Information Theory and Statistical Mechanics Revisited (1604.08739v1)
Published 29 Apr 2016 in math-ph, cs.IT, math.IT, and math.MP
Abstract: We derive Bose-Einstein statistics and Fermi-Dirac statistics by Principle of Maximum Entropy applied to two families of entropy functions different from the Boltzmann-Gibbs-Shannon entropy. These entropy functions are identified with special cases of modified Naudts' $\phi$-entropy.