{
  "id": "1302.4319",
  "version": "v3",
  "published": "2013-02-18T15:41:52.000Z",
  "updated": "2015-02-20T23:11:36.000Z",
  "title": "Characterization of exponential distribution through equidistribution conditions for consecutive maxima",
  "authors": [
    "Santanu Chakraborty",
    "George P. Yanev"
  ],
  "comment": "Revised version with corrections and modifications in the proof of one of the lemmas and the theorem",
  "categories": [
    "math.PR"
  ],
  "abstract": "A characterization of the exponential distribution based on equidistribution conditions for maxima of random samples with consecutive sizes n-1 and n for an arbitrary and fixed n>2 is proved. This solves an open problem stated recently in Arnold and Villasenor (2013).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-22T22:07:19.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-02-20T23:11:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62G30",
      "62E10"
    ],
    "keywords": [
      "exponential distribution",
      "equidistribution conditions",
      "consecutive maxima",
      "characterization",
      "random samples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}