{
  "id": "2009.12641",
  "version": "v1",
  "published": "2020-09-26T17:00:45.000Z",
  "updated": "2020-09-26T17:00:45.000Z",
  "title": "A q-analog of the binomial distribution",
  "authors": [
    "Andrew V. Sills"
  ],
  "comment": "7 pages",
  "categories": [
    "math.PR",
    "math.CO",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "$q$-analogs of special functions, including hypergeometric functions, play a central role in mathematics and have numerous applications in physics. In the theory of probability, $q$-analogs of various continuous distributions have been introduced over the years. Here I propose a $q$-analog of a discrete distribution: the binomial distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-26T17:00:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E05"
    ],
    "keywords": [
      "binomial distribution",
      "special functions",
      "discrete distribution",
      "hypergeometric functions",
      "central role"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}