{
  "id": "1301.7504",
  "version": "v4",
  "published": "2013-01-31T03:39:34.000Z",
  "updated": "2013-07-16T12:59:00.000Z",
  "title": "Improved Lower Bounds on the Total Variation Distance for the Poisson Approximation",
  "authors": [
    "Igal Sason"
  ],
  "comment": "To appear in the Statistics and Probability Letters, final version: July 16, 2013. This work was presented in part at the 2013 Information Theory and Applications (ITA) Workshop in San-Diego, February 2013",
  "categories": [
    "cs.IT",
    "math.IT"
  ],
  "abstract": "New lower bounds on the total variation distance between the distribution of a sum of independent Bernoulli random variables and the Poisson random variable (with the same mean) are derived via the Chen-Stein method. The new bounds rely on a non-trivial modification of the analysis by Barbour and Hall (1984) which surprisingly gives a significant improvement. A use of the new lower bounds is addressed.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-07-16T12:59:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "total variation distance",
      "lower bounds",
      "poisson approximation",
      "independent bernoulli random variables",
      "significant improvement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.7504S"
    }
  }
}