{
  "id": "2202.12580",
  "version": "v1",
  "published": "2022-02-25T09:39:08.000Z",
  "updated": "2022-02-25T09:39:08.000Z",
  "title": "A note on the cluster set of the law of the iterated logarithm under sub-linear expectations",
  "authors": [
    "Li-Xin Zhang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2109.13083, arXiv:2103.01390",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this note, we establish a compact law of the iterated logarithm under the upper capacity for independent and identically distributed random variables in a sub-linear expectation space. For showing the result, a self-normalized law of the iterated logarithm is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-25T09:39:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F15",
      "60F05"
    ],
    "keywords": [
      "iterated logarithm",
      "cluster set",
      "sub-linear expectation space",
      "compact law",
      "identically distributed random variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}