{
  "id": "math/0702885",
  "version": "v1",
  "published": "2007-02-28T15:44:37.000Z",
  "updated": "2007-02-28T15:44:37.000Z",
  "title": "A Fleming--Viot process and Bayesian nonparametrics",
  "authors": [
    "Stephen G. Walker",
    "Spyridon J. Hatjispyros",
    "Theodoros Nicoleris"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/105051606000000600 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Applied Probability 2007, Vol. 17, No. 1, 67-80",
  "doi": "10.1214/105051606000000600",
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper provides a construction of a Fleming--Viot measure valued diffusion process, for which the transition function is known, by extending recent ideas of the Gibbs sampler based Markov processes. In particular, we concentrate on the Chapman--Kolmogorov consistency conditions which allows a simple derivation of such a Fleming--Viot process, once a key and apparently new combinatorial result for P\\'{o}lya-urn sequences has been established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-28T15:44:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G57",
      "60J35",
      "60J60",
      "92D15"
    ],
    "keywords": [
      "fleming-viot process",
      "bayesian nonparametrics",
      "fleming-viot measure valued diffusion process",
      "chapman-kolmogorov consistency conditions",
      "markov processes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2885W"
    }
  }
}