Maximum Entropy Principle in statistical inference: case for non-Shannonian entropies - CSH

Maximum Entropy Principle in statistical inference: case for non-Shannonian entropies


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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.

 

J. Krobel, P. Jizba, Maximum Entropy Principle in statistical inference: case for non-Shannonian entropies, 2018 [in review]