{
  "id": "2301.03096",
  "version": "v1",
  "published": "2023-01-08T19:28:38.000Z",
  "updated": "2023-01-08T19:28:38.000Z",
  "title": "Concentration bounds for sampling without replacement and Hoeffding statistics",
  "authors": [
    "Bartłomiej Polaczyk"
  ],
  "comment": "12 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove a Bennett-type concentration bound for suprema of empirical processes based on sampling without replacement and a corresponding bound in the case of an arbitrary Hoeffding statistics. We improve on the previous results of such type, providing a sharper concentration profile.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-08T19:28:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "60C05"
    ],
    "keywords": [
      "replacement",
      "bennett-type concentration bound",
      "arbitrary hoeffding statistics",
      "empirical processes",
      "corresponding bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}