{
  "id": "0903.0623",
  "version": "v2",
  "published": "2009-03-03T21:14:25.000Z",
  "updated": "2009-03-22T01:16:47.000Z",
  "title": "Some Diffusion Processes Associated With Two Parameter Poisson-Dirichlet Distribution and Dirichlet Process",
  "authors": [
    "Shui Feng",
    "Wei Sun"
  ],
  "comment": "24 pages",
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "The two parameter Poisson-Dirichlet distribution $PD(\\alpha,\\theta)$ is the distribution of an infinite dimensional random discrete probability. It is a generalization of Kingman's Poisson-Dirichlet distribution. The two parameter Dirichlet process $\\Pi_{\\alpha,\\theta,\\nu_0}$ is the law of a pure atomic random measure with masses following the two parameter Poisson-Dirichlet distribution. In this article we focus on the construction and the properties of the infinite dimensional symmetric diffusion processes with respective symmetric measures $PD(\\alpha,\\theta)$ and $\\Pi_{\\alpha,\\theta,\\nu_0}$. The methods used come from the theory of Dirichlet forms.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-22T01:16:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10"
    ],
    "keywords": [
      "parameter poisson-dirichlet distribution",
      "dirichlet process",
      "infinite dimensional symmetric diffusion processes",
      "infinite dimensional random discrete probability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.0623F"
    }
  }
}