{
  "id": "cond-mat/0401540",
  "version": "v2",
  "published": "2004-01-27T13:00:31.000Z",
  "updated": "2004-02-04T09:37:43.000Z",
  "title": "Law of Error in Tsallis Statistics",
  "authors": [
    "Hiroki Suyari",
    "Makoto Tsukada"
  ],
  "comment": "11 pages, submitted; small mistakes corrected",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Gauss' law of error is generalized in Tsallis statistics such as multifractal systems, in which Tsallis entropy plays an essential role instead of Shannon entropy. For the generalization, we apply the new multiplication operation determined by the q-logarithm and the q-exponential functions to the definition of the likelihood function in Gauss' law of error. The maximum likelihood principle leads us to finding Tsallis distribution as nonextensively generalization of Gaussian distribution.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-04T09:37:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tsallis statistics",
      "tsallis entropy plays",
      "essential role",
      "maximum likelihood principle",
      "gaussian distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004cond.mat..1540S"
    }
  }
}