{
  "id": "1804.10084",
  "version": "v1",
  "published": "2018-04-21T00:04:13.000Z",
  "updated": "2018-04-21T00:04:13.000Z",
  "title": "Concentration of Lipschitz Functions of Negatively Dependent Variables",
  "authors": [
    "Kevin Garbe",
    "Jan Vondrak"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We explore the question whether Lipschitz functions of random variables under various forms of negative correlation satisfy concentration bounds similar to McDiarmid's inequality for independent random variables. We prove such a concentration bound for random variables satisfying the condition of negative regression, correcting an earlier proof by Dubhashi and Ranjan.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-21T00:04:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "negatively dependent variables",
      "lipschitz functions",
      "random variables",
      "correlation satisfy concentration bounds similar",
      "negative correlation satisfy concentration bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}