{
  "id": "1704.02660",
  "version": "v1",
  "published": "2017-04-09T20:57:01.000Z",
  "updated": "2017-04-09T20:57:01.000Z",
  "title": "Centers of probability measures without the mean",
  "authors": [
    "Giovanni Puccetti",
    "Pietro Rigo",
    "Bin Wang",
    "Ruodu Wang"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We investigate the set of centers of completely and jointly mixable distributions. In addition to several results, we show that, for each $n \\geq 2$, there exist $n$ standard Cauchy random variables adding up to a constant $C$ if and only if $$|C|\\le\\frac{n\\,\\log (n-1)}{\\pi}.$$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-09T20:57:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "probability measures",
      "standard cauchy random variables adding",
      "jointly mixable distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}