{
  "id": "2206.00537",
  "version": "v1",
  "published": "2022-06-01T14:47:28.000Z",
  "updated": "2022-06-01T14:47:28.000Z",
  "title": "Averaging of random variables and fields",
  "authors": [
    "M. R. Formica",
    "E. Ostrovsky",
    "L. Sirota"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We will prove that by averaging of random variables (r.v.) and random fields (r.f.) its tails of distributions do not increase in comparison with the tails of source variables, essentially or almost exact, under very weak conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-01T14:47:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random variables",
      "random fields",
      "source variables",
      "weak conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}