{
  "id": "2010.07501",
  "version": "v1",
  "published": "2020-10-15T04:00:26.000Z",
  "updated": "2020-10-15T04:00:26.000Z",
  "title": "Moderate deviations for empirical measures for nonhomogeneous Markov chains",
  "authors": [
    "Mingzhou Xu",
    "Kun Cheng"
  ],
  "comment": "8 pages",
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "We prove that moderate deviations for empirical measures for countable nonhomogeneous Markov chains hold under the assumption of uniform convergence of transition probability matrices for countable nonhomogeneous Markov chains in Ces\\`aro sense.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-15T04:00:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "05C80"
    ],
    "keywords": [
      "moderate deviations",
      "empirical measures",
      "countable nonhomogeneous markov chains hold",
      "transition probability matrices",
      "uniform convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}