{
  "id": "1903.06553",
  "version": "v1",
  "published": "2019-03-15T13:47:58.000Z",
  "updated": "2019-03-15T13:47:58.000Z",
  "title": "Decorrelation of a class of Gibbs particle processes and asymptotic properties of U -statistics",
  "authors": [
    "Viktor Beneš",
    "Christoph Hofer-Temmel",
    "Günter Last",
    "Jakub Večeřa"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a stationary Gibbs particle process with deterministically bounded particles on Euclidean space defined in terms of a non-negative pair potential and an activity parameter. For small activity parameters, we prove a central limit theorem for certain $U$-statistics of this Gibbs particle process. To this end we establish an exponential decorrelation property, a result of independent interest.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-15T13:47:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G55",
      "60F05",
      "60D05"
    ],
    "keywords": [
      "asymptotic properties",
      "statistics",
      "stationary gibbs particle process",
      "small activity parameters",
      "central limit theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}