{
  "id": "2311.06324",
  "version": "v1",
  "published": "2023-11-10T12:52:11.000Z",
  "updated": "2023-11-10T12:52:11.000Z",
  "title": "Equivalence of Weak and Strong Uniform Glivenko-Cantelli Classes",
  "authors": [
    "Shane R. Crowe"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Strong uniform Glivenko-Cantelli classes are weak uniform Glivenko-Cantelli, but to date results that prove the converse require additional conditions on the function class. This paper shows that no such extra requirements are necessary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-10T12:52:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strong uniform glivenko-cantelli classes",
      "equivalence",
      "weak uniform glivenko-cantelli",
      "extra requirements",
      "date results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}