{
  "id": "math/0510305",
  "version": "v2",
  "published": "2005-10-14T15:16:11.000Z",
  "updated": "2007-02-28T12:43:18.000Z",
  "title": "Recursive partition structures",
  "authors": [
    "Alexander V. Gnedin",
    "Yuri Yakubovich"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/009117906000000584 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2006, Vol. 34, No. 6, 2203-2218",
  "doi": "10.1214/009117906000000584",
  "categories": [
    "math.PR"
  ],
  "abstract": "A class of random discrete distributions $P$ is introduced by means of a recursive splitting of unity. Assuming supercritical branching, we show that for partitions induced by sampling from such $P$ a power growth of the number of blocks is typical. Some known and some new partition structures appear when $P$ is induced by a Dirichlet splitting.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-02-28T12:43:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G09",
      "60C05"
    ],
    "keywords": [
      "recursive partition structures",
      "random discrete distributions",
      "partition structures appear",
      "power growth"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10305G"
    }
  }
}