{
  "id": "math/0304373",
  "version": "v1",
  "published": "2003-04-24T03:04:49.000Z",
  "updated": "2003-04-24T03:04:49.000Z",
  "title": "Estimates for the strong approximation in multidimensional central limit theorem",
  "authors": [
    "A. Yu. Zaitsev"
  ],
  "journal": "Proceedings of the ICM, Beijing 2002, vol. 3, 107--116",
  "categories": [
    "math.PR"
  ],
  "abstract": "In a recent paper the author obtained optimal bounds for the strong Gaussian approximation of sums of independent $\\R^d$-valued random vectors with finite exponential moments. The results may be considered as generalizations of well-known results of Koml\\'os--Major--Tusn\\'ady and Sakhanenko. The dependence of constants on the dimension $d$ and on distributions of summands is given explicitly. Some related problems are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-24T03:04:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60F15",
      "60F17"
    ],
    "keywords": [
      "multidimensional central limit theorem",
      "strong approximation",
      "strong gaussian approximation",
      "finite exponential moments",
      "optimal bounds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4373Z"
    }
  }
}