{
  "id": "cond-mat/0410738",
  "version": "v1",
  "published": "2004-10-28T13:54:18.000Z",
  "updated": "2004-10-28T13:54:18.000Z",
  "title": "Prior Measure for Nonextensive Entropy",
  "authors": [
    "F. Brouers",
    "O. Sotolongo"
  ],
  "comment": "9 pages, 2 pictures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We show that if one uses the invariant form of the Boltzmann-Shannon continuous entropy, it is possible to obtain the generalized Pareto-Tsallis density function, using an appropriate \"prior\" measure m_{q}(x) and a \"Boltzman constraint\" which formally is equivalent to the Tsallis q-average constraint on the random variable X. We derive the Tsallis prior function and study its scaling asymptotic behavior. When the entropic index q tends to 1, m_{q}(x) tends to 1 for all values of x as this should be.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-28T13:54:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "prior measure",
      "nonextensive entropy",
      "generalized pareto-tsallis density function",
      "tsallis prior function",
      "tsallis q-average constraint"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004cond.mat.10738B"
    }
  }
}