{
  "id": "1705.08333",
  "version": "v1",
  "published": "2017-05-23T14:51:30.000Z",
  "updated": "2017-05-23T14:51:30.000Z",
  "title": "A Note on Uniform Integrability of Random Variables in a Probability Space and Sublinear Expectation Space",
  "authors": [
    "Ze-Chun Hu",
    "Qian-Qian Zhou"
  ],
  "comment": "9 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this note we discuss uniform integrability of random variables. In a probability space, we introduce two new notions on uniform integrability of random variables, and prove that they are equivalent to the classic one. In a sublinear expectation space, we give de La Vall\\'ee Poussin criterion for the uniform integrability of random variables and do some other discussions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-23T14:51:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sublinear expectation space",
      "random variables",
      "uniform integrability",
      "probability space",
      "vallee poussin criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}