{
  "id": "2305.14248",
  "version": "v1",
  "published": "2023-05-23T17:02:42.000Z",
  "updated": "2023-05-23T17:02:42.000Z",
  "title": "Improved rates of convergence for the multivariate Central Limit Theorem in Wasserstein distance",
  "authors": [
    "Thomas Bonis"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We provide new bounds for rates of convergence of the multivariate Central Limit Theorem in Wasserstein distances of order $p \\geq 2$. In particular, we obtain an asymptotic bound for measures with a continuous component which we conjecture to be optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-23T17:02:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multivariate central limit theorem",
      "wasserstein distance",
      "convergence",
      "asymptotic bound",
      "continuous component"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}