{
  "id": "math/0608138",
  "version": "v1",
  "published": "2006-08-05T12:06:28.000Z",
  "updated": "2006-08-05T12:06:28.000Z",
  "title": "Symmetric and centered binomial approximation of sums of locally dependent random variables",
  "authors": [
    "Adrian Röllin"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Stein's method is used to approximate sums of discrete and locally dependent random variables by a centered and symmetric Binomial distribution. Under appropriate smoothness properties of the summands, the same order of accuracy as in the Berry-Essen Theorem is achieved. The approximation of the total number of points of a point processes is also considered. The results are applied to the exceedances of the $r$-scans process and to the Mat\\'ern hardcore point process type I.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-05T12:06:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05"
    ],
    "keywords": [
      "locally dependent random variables",
      "centered binomial approximation",
      "matern hardcore point process type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8138R"
    }
  }
}