{
  "id": "1603.00613",
  "version": "v1",
  "published": "2016-03-02T08:33:36.000Z",
  "updated": "2016-03-02T08:33:36.000Z",
  "title": "On a bound of Hoeffding in the complex case",
  "authors": [
    "Mikhail Isaev",
    "Brendan D. Mckay"
  ],
  "comment": "Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2016",
  "doi": "10.1214/16-ECP4372",
  "categories": [
    "math.PR"
  ],
  "abstract": "It was proved by Hoeffding in 1963 that a real random variable X confined to [a, b] satisfies E e^(X--E X) $\\le$ e^((b--a)^2/8). We generalise this to complex random variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-02T08:33:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex case",
      "complex random variables",
      "generalise"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160300613I"
    }
  }
}