{
  "id": "1811.06062",
  "version": "v1",
  "published": "2018-11-01T10:36:06.000Z",
  "updated": "2018-11-01T10:36:06.000Z",
  "title": "Central limit theorems with a rate of convergence for sequences of transformations",
  "authors": [
    "Olli Hella"
  ],
  "categories": [
    "math.PR",
    "math.DS"
  ],
  "abstract": "Using Stein's method, we prove an abstract result that yields multivariate central limit theorems with a rate of convergence for time-dependent dynamical systems. As examples we study a model of expanding circle maps and a quasistatic model. In both models we prove multivariate central limit theorems with a rate of convergence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-01T10:36:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "37A50"
    ],
    "keywords": [
      "convergence",
      "yields multivariate central limit theorems",
      "transformations",
      "quasistatic model",
      "abstract result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}