{
  "id": "2307.02255",
  "version": "v1",
  "published": "2023-07-05T12:54:18.000Z",
  "updated": "2023-07-05T12:54:18.000Z",
  "title": "Deviation inequalities for dependent sequences with applications to strong approximations",
  "authors": [
    "J Dedecker",
    "F Merlevède",
    "Emmanuel Rio"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we give precise rates of convergence in the strong invariance principle for stationary sequences of bounded real-valued random variables satisfying weak dependence conditions. One of the main ingredients is a new Fuk-Nagaev type inequality for a class of weakly dependent sequences. We describe also several classes of processes to which our results apply.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-05T12:54:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dependent sequences",
      "strong approximations",
      "deviation inequalities",
      "satisfying weak dependence conditions",
      "inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}