{
  "id": "cond-mat/0211437",
  "version": "v1",
  "published": "2002-11-20T14:25:41.000Z",
  "updated": "2002-11-20T14:25:41.000Z",
  "title": "Generalized entropy optimized by an arbitrary distribution",
  "authors": [
    "Sumiyoshi Abe"
  ],
  "comment": "10 pages, no figures",
  "doi": "10.1088/0305-4470/36/33/301",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We construct the generalized entropy optimized by a given arbitrary statistical distribution with a finite linear expectation value of a random quantity of interest. This offers, via the maximum entropy principle, a unified basis for a great variety of distributions observed in nature, which can hardly be described by the conventional methods. As a simple example, we explicitly derive the entropy associated with the stretched exponential distribution. To include the distributions with the divergent moments (e.g., the Levy stable distributions), it is necessary to modify the definition of the expectation value.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-20T14:25:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized entropy",
      "arbitrary distribution",
      "finite linear expectation value",
      "maximum entropy principle",
      "levy stable distributions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}