{
  "id": "1802.06638",
  "version": "v1",
  "published": "2018-02-19T14:17:50.000Z",
  "updated": "2018-02-19T14:17:50.000Z",
  "title": "Rare events and Poisson point processes",
  "authors": [
    "Friedrich Götze",
    "Andrei Yu. Zaitsev"
  ],
  "comment": "9 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent terms by the accompanying compound Poisson laws may be interpreted as rather sharp quantitative estimates for the closeness between the sample containing independent observations of rare events and the Poisson point process which is obtained after a Poissonization of the initial sample.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-19T14:17:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05"
    ],
    "keywords": [
      "poisson point process",
      "rare events",
      "sample containing independent observations",
      "accompanying compound poisson laws",
      "sharp quantitative estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}