{
  "id": "1302.4668",
  "version": "v1",
  "published": "2013-02-19T16:53:47.000Z",
  "updated": "2013-02-19T16:53:47.000Z",
  "title": "Waiting Time Distribution for the Emergence of Superpatterns",
  "authors": [
    "Anant Godbole",
    "Martha Liendo"
  ],
  "comment": "17 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Consider a sequence X_1, X_2,... of i.i.d. uniform random variables taking values in the alphabet set {1,2,...,d}. A k-superpattern is a realization of X_1,...,X_t that contains, as an embedded subsequence, each of the non-order-isomorphic subpatterns of length k. We focus on the non-trivial case of d=k=3 and study the waiting time distribution of tau=inf{t>=7: X_1,...,X_t is a superpattern}",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-19T16:53:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05"
    ],
    "keywords": [
      "waiting time distribution",
      "superpattern",
      "uniform random variables",
      "alphabet set",
      "non-trivial case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.4668G"
    }
  }
}