{
  "id": "2204.00867",
  "version": "v1",
  "published": "2022-04-02T14:06:09.000Z",
  "updated": "2022-04-02T14:06:09.000Z",
  "title": "On characterization of the exponential distribution via hypoexponential distributions",
  "authors": [
    "George Yanev"
  ],
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "The sum of independent, but not necessary identically distributed, exponential random variables follows hypoexponential distribution. We study a situation when the rate parameters of the exponential variables are not all different from each other. We obtain a representation for the Laplace transform of the hypoexponential distribution in the case of two repeated parameter values. Applying this decomposition, we prove a characterization of the exponential distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-02T14:06:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62G30",
      "62E10"
    ],
    "keywords": [
      "hypoexponential distribution",
      "characterization",
      "exponential random variables",
      "rate parameters",
      "exponential variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}