{
  "id": "1407.6831",
  "version": "v1",
  "published": "2014-07-25T09:28:46.000Z",
  "updated": "2014-07-25T09:28:46.000Z",
  "title": "Runs in coin tossing: a general approach for deriving distributions for functionals",
  "authors": [
    "Lars Holst",
    "Takis Konstantopoulos"
  ],
  "comment": "20 pages, 2 figures, 6 tables",
  "categories": [
    "math.PR"
  ],
  "abstract": "We take a fresh look at the classical problem of runs in a sequence of i.i.d.\\ coin tosses and derive a general identity/recursion which can be used to compute (joint) distributions of functionals of run types. This generalizes and unifies already existing approaches. We give several examples, derive asymptotics, and pose some further questions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-25T09:28:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G40",
      "60G50",
      "60F99",
      "60E10"
    ],
    "keywords": [
      "general approach",
      "deriving distributions",
      "coin tossing",
      "functionals",
      "run types"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.6831H"
    }
  }
}