{
  "id": "math/0503227",
  "version": "v2",
  "published": "2005-03-11T18:04:51.000Z",
  "updated": "2006-08-08T22:01:59.000Z",
  "title": "An Inductive Proof of the Berry-Esseen Theorem for Character Ratios",
  "authors": [
    "Jason Fulman"
  ],
  "comment": "revised version (main modification to the proof of Theorem 2.5)",
  "categories": [
    "math.CO",
    "math.PR"
  ],
  "abstract": "Bolthausen used a variation of Stein's method to give an inductive proof of the Berry-Esseen theorem for sums of independent, identically distributed random variables. We modify this technique to prove a Berry-Esseen theorem for character ratios of a random representation of the symmetric group on transpositions. An analogous result is proved for Jack measure on partitions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-08-08T22:01:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "berry-esseen theorem",
      "character ratios",
      "inductive proof",
      "identically distributed random variables",
      "jack measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3227F"
    }
  }
}