{
  "id": "1104.3759",
  "version": "v1",
  "published": "2011-04-19T14:24:26.000Z",
  "updated": "2011-04-19T14:24:26.000Z",
  "title": "Non-Uniform Bounds in Local Limit Theorems in Case of Fractional Moments",
  "authors": [
    "S. G. Bobkov",
    "G. P. Chistyakov",
    "F. Götze"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Edgeworth-type expansions for convolutions of probability densities and powers of the characteristic functions with non-uniform error terms are established for i.i.d. random variables with finite (fractional) moments of order $s \\geq 2$, where $s$ may be noninteger.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-19T14:24:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local limit theorems",
      "fractional moments",
      "non-uniform bounds",
      "non-uniform error terms",
      "edgeworth-type expansions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.3759B"
    }
  }
}