Petr Jizba, Jan Korbel
Published 2018-08-03Version 1
In this letter we show that the Shore--Johnson axioms for Maximum Entropy Principle in statistical estimation theory account for a considerably wider class of entropic functional than previously thought. Apart from a formal side of the proof, we substantiate our point by analyzing the effect of weak correlations and discuss two pertinent examples: $2$-qubit quantum system and strongly interacting nuclear systems.
Comments: 6 pages, 6 pages of Supplementary material
Jaynes' Maximum Entropy Principle, Riemannian Metrics and Generalised Least Action Bound
Invertible mappings and the large deviation theory for the $q$-maximum entropy principle
Microscopic Legendre Transform, Canonical Distribution and Jaynes' Maximum Entropy Principle
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