{
  "id": "1808.09692",
  "version": "v1",
  "published": "2018-08-29T09:00:42.000Z",
  "updated": "2018-08-29T09:00:42.000Z",
  "title": "Improved deviation inequalities for convex functions",
  "authors": [
    "Kevin Tanguy"
  ],
  "comment": "15 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "This short note deals with elementary semigroup arguments together with Harris's negative association inequality in order to obtain improved deviation inequalities (for the left tail) for log-concave measures under some monotony and convexity assumption.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-29T09:00:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "26D10",
      "60G70"
    ],
    "keywords": [
      "deviation inequalities",
      "convex functions",
      "short note deals",
      "elementary semigroup arguments",
      "harriss negative association inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}