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

Statistical Mechanics 2019-04-03 v3 Mathematical Physics math.MP

Abstract

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: 22-qubit quantum system and strongly interacting nuclear systems.

Keywords

Cite

@article{arxiv.1808.01172,
  title  = {Maximum Entropy Principle in statistical inference: case for non-Shannonian entropies},
  author = {Petr Jizba and Jan Korbel},
  journal= {arXiv preprint arXiv:1808.01172},
  year   = {2019}
}

Comments

to appear in Phys. Rev. Lett., 6 pages, 6 pages of Supplementary material