{
  "id": "2210.01121",
  "version": "v1",
  "published": "2022-09-30T18:49:15.000Z",
  "updated": "2022-09-30T18:49:15.000Z",
  "title": "Independence of Linear Statistics with Random Coefficients and Characterizations of Geometric and Poisson Distributions",
  "authors": [
    "Lev Klebanov"
  ],
  "comment": "5 pages, no figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "There is given a characterization of the geometric distribution by the independence of linear forms with random coefficients. The result is a discrete analog of the corresponding theorem on exponential distribution. The property of linear statistics independence is also a characterization of Poisson law. Keywords: geometric distribution; exponential distribution; Poisson distribution; linear forms; random coefficients",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-30T18:49:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E05",
      "60E10"
    ],
    "keywords": [
      "random coefficients",
      "poisson distribution",
      "characterization",
      "geometric distribution",
      "exponential distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}