{
  "id": "0706.1637",
  "version": "v1",
  "published": "2007-06-12T15:06:12.000Z",
  "updated": "2007-06-12T15:06:12.000Z",
  "title": "t-Wise Independence with Local Dependencies",
  "authors": [
    "Ronen Gradwohl",
    "Amir Yehudayoff"
  ],
  "comment": "5 pages",
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "In this note we prove a large deviation bound on the sum of random variables with the following dependency structure: there is a dependency graph $G$ with a bounded chromatic number, in which each vertex represents a random variable. Variables that are represented by neighboring vertices may be arbitrarily dependent, but collections of variables that form an independent set in $G$ are $t$-wise independent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-12T15:06:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05"
    ],
    "keywords": [
      "local dependencies",
      "t-wise independence",
      "large deviation bound",
      "dependency structure",
      "dependency graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.1637G"
    }
  }
}