{
  "id": "0906.2217",
  "version": "v1",
  "published": "2009-06-11T21:29:55.000Z",
  "updated": "2009-06-11T21:29:55.000Z",
  "title": "Asymptotic Results for the Two-parameter Poisson-Dirichlet Distribution",
  "authors": [
    "Shui Feng",
    "Fuqing Gao"
  ],
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "The two-parameter Poisson-Dirichlet distribution is the law of a sequence of decreasing nonnegative random variables with total sum one. It can be constructed from stable and Gamma subordinators with the two-parameters, $\\alpha$ and $\\theta$, corresponding to the stable component and Gamma component respectively. The moderate deviation principles are established for the two-parameter Poisson-Dirichlet distribution and the corresponding homozygosity when $\\theta$ approaches infinity, and the large deviation principle is established for the two-parameter Poisson-Dirichlet distribution when both $\\alpha$ and $\\theta$ approach zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-11T21:29:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "92D10"
    ],
    "keywords": [
      "two-parameter poisson-dirichlet distribution",
      "asymptotic results",
      "large deviation principle",
      "moderate deviation principles",
      "decreasing nonnegative random variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.2217F"
    }
  }
}