{
  "id": "1204.1761",
  "version": "v1",
  "published": "2012-04-08T19:58:20.000Z",
  "updated": "2012-04-08T19:58:20.000Z",
  "title": "On the supremum of the tails of normalized sums of independent Rademacher random variables",
  "authors": [
    "Iosif Pinelis"
  ],
  "comment": "6 pages",
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "A well-known longstanding conjecture on the supremum of the tails of normalized sums of independent Rademacher random variables is disproved. A related conjecture, also recently disproved, is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-08T19:58:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "60G50"
    ],
    "keywords": [
      "independent rademacher random variables",
      "normalized sums",
      "well-known longstanding conjecture",
      "related conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.1761P"
    }
  }
}