{
  "id": "math/9804068",
  "version": "v2",
  "published": "1998-04-14T02:40:53.000Z",
  "updated": "1999-12-03T19:21:47.000Z",
  "title": "A note on sums of independent random variables",
  "authors": [
    "Paweł Hitczenko",
    "Stephen Montgomery-Smith"
  ],
  "comment": "Also available at http://www.math.missouri.edu/~stephen/preprints/",
  "journal": "Advances in Stochastic Inequalities, Ed.: T. Hill and C. Houdre, Contemporary Mathematics 234, A.M.S., Providence R.I., 1999",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "In this note a two sided bound on the tail probability of sums of independent, and either symmetric or nonnegative, random variables is obtained. We utilize a recent result by Lata{\\l}a on bounds on moments of such sums. We also give a new proof of Lata{\\l}a's result for nonnegative random variables, and improve one of the constants in his inequality.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-12-03T19:21:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50"
    ],
    "keywords": [
      "independent random variables",
      "tail probability",
      "nonnegative random variables",
      "sided bound",
      "inequality"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......4068H"
    }
  }
}