{
  "id": "0712.3696",
  "version": "v1",
  "published": "2007-12-21T13:45:51.000Z",
  "updated": "2007-12-21T13:45:51.000Z",
  "title": "Central limit theorem for sampled sums of dependent random variables",
  "authors": [
    "Nadine Guillotin-Plantard",
    "Clémentine Prieur"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to the study of dependent random variables sampled by a $\\bbZ$-valued transient random walk. This extends the results obtained by Guillotin-Plantard & Schneider (2003). An application to parametric estimation by random sampling is also provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-21T13:45:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60G50",
      "62D05",
      "37C30",
      "37E05"
    ],
    "keywords": [
      "central limit theorem",
      "dependent random variables",
      "sampled sums",
      "valued transient random walk",
      "linear triangular arrays"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.3696G"
    }
  }
}