In this Letter, we show that the Shore-Johnson axioms for the 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 where a one-parameter class of admissible entropies is identified, we substantiate our point by analyzing the effect of weak correlations and by discussing two pertinent examples: two-qubit quantum system and transverse-momentum behavior of hadrons in high-energy proton-proton collisions.

Complexity Science Hub Vienna Josefstädter Strasse 39 1080 Vienna Austria

FNSPE Czech Technical University Prague Břehová 7 115 19 Prague Czech Republic

Section for Science of Complex Systems CeMSIIS Medical University of Vienna Spitalgasse 23 A 1090 Vienna Austria

Citace poskytuje Crossref.org

Causal Inference in Time Series in Terms of Rényi Transfer Entropy

From Rényi Entropy Power to Information Scan of Quantum States

Calibration Invariance of the MaxEnt Distribution in the Maximum Entropy Principle

Gradient and GENERIC time evolution towards reduced dynamics

Dynamic Maximum Entropy Reduction