{
  "id": "1201.6036",
  "version": "v1",
  "published": "2012-01-29T13:04:44.000Z",
  "updated": "2012-01-29T13:04:44.000Z",
  "title": "On Hàjek - Rényi type inequality and application",
  "authors": [
    "Gane Samb Lo",
    "Cheikha Hamallah Ndiaye"
  ],
  "comment": "7pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we establish a new H\\'ajek - R\\'enyi's type inequality and obtain strong law of large numbers (SLLN) for arbitrary random variables. We base our methods on demimartingales and convex functions techniques. We obtain wide extensions of avalaible results, particularly those of Amini et al. and Rao and related SLLN's.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-29T13:04:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "60F15",
      "60G42",
      "60G48"
    ],
    "keywords": [
      "rényi type inequality",
      "application",
      "convex functions techniques",
      "renyis type inequality",
      "arbitrary random variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.6036S"
    }
  }
}