{
  "id": "0907.1116",
  "version": "v1",
  "published": "2009-07-06T22:17:34.000Z",
  "updated": "2009-07-06T22:17:34.000Z",
  "title": "Hsu-Robbins and Spitzer's theorems for the variations of fractional Brownian motion",
  "authors": [
    "Ciprian Tudor"
  ],
  "comment": "To appear in \"Electronic Communications in Probability\"",
  "categories": [
    "math.PR"
  ],
  "abstract": "Using recent results on the behavior of multiple Wiener-It\\^o integrals based on Stein's method, we prove Hsu-Robbins and Spitzer's theorems for sequences of correlated random variables related to the increments of the fractional Brownian motion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-06T22:17:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional brownian motion",
      "spitzers theorems",
      "hsu-robbins",
      "variations",
      "steins method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.1116T"
    }
  }
}