{
  "id": "2305.13001",
  "version": "v1",
  "published": "2023-05-22T13:05:23.000Z",
  "updated": "2023-05-22T13:05:23.000Z",
  "title": "Strong approximations for a class of dependent random variables with semi exponential tails",
  "authors": [
    "C Cuny",
    "J Dedecker",
    "F Merlevède"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We give rates of convergence in the almost sure invariance principle for sums of dependent random variables with semi exponential tails, whose coupling coefficients decrease at a subexponential rate. We show that the rates in the strong invariance principle are in powers of log n. We apply our results to iid products of random matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-22T13:05:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dependent random variables",
      "semi exponential tails",
      "strong approximations",
      "sure invariance principle",
      "strong invariance principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}