{
  "id": "2012.08808",
  "version": "v1",
  "published": "2020-12-16T09:12:00.000Z",
  "updated": "2020-12-16T09:12:00.000Z",
  "title": "Generalizations of Efron's theorem",
  "authors": [
    "Yannis Oudghiri"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article, we prove two new versions of a theorem proven by Efron in [Efr65]. The first one generalizes the restricted Efron's theorem for random variables in the $PF_n$ class. The second one generalizes the non-restricted Efron's theorem with a stronger monotonicity assumption.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-16T09:12:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalizations",
      "stronger monotonicity assumption",
      "generalizes",
      "theorem proven",
      "random variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}