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.
Maximum Entropy and Sufficiency
Lectures on the Spin and Loop $O(n)$ Models
Statistical mechanics of anharmonic lattices
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