{
  "id": "1808.01172",
  "version": "v1",
  "published": "2018-08-03T12:16:18.000Z",
  "updated": "2018-08-03T12:16:18.000Z",
  "title": "Maximum Entropy Principle in statistical inference: case for non-Shannonian entropies",
  "authors": [
    "Petr Jizba",
    "Jan Korbel"
  ],
  "comment": "6 pages, 6 pages of Supplementary material",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "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: $2$-qubit quantum system and strongly interacting nuclear systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-03T12:16:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximum entropy principle",
      "non-shannonian entropies",
      "statistical inference",
      "statistical estimation theory account",
      "qubit quantum system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}