{
  "id": "2212.04287",
  "version": "v1",
  "published": "2022-12-08T14:28:28.000Z",
  "updated": "2022-12-08T14:28:28.000Z",
  "title": "Quadratic transportation cost in the conditional central limit theorem for dependent sequences",
  "authors": [
    "Jérôme Dedecker",
    "Florence Merlevède",
    "Emmanuel Rio"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we give estimates of the quadratic transportation cost in the conditional central limit theorem for a large class of dependent sequences. Applications to irreducible Markov chains, dynamical systems generated by intermittent maps and $\\tau$-mixing sequences are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-08T14:28:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conditional central limit theorem",
      "quadratic transportation cost",
      "dependent sequences",
      "large class",
      "irreducible markov chains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}