{
  "id": "2207.09683",
  "version": "v1",
  "published": "2022-07-20T06:29:26.000Z",
  "updated": "2022-07-20T06:29:26.000Z",
  "title": "New asymptotic results for generalized Oppenheim expansions",
  "authors": [
    "Rita Giuliano",
    "Milto Hadjikyriakou"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this work, we study convergence in probability and almost sure convergence for weighted partial sums of random variables that are related to the class of generalized Oppenheim expansions. It is worth noting that the random variables under study have infinite mean and the results are obtained without any dependence assumptions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-20T06:29:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F15",
      "60F05",
      "11K55"
    ],
    "keywords": [
      "generalized oppenheim expansions",
      "asymptotic results",
      "random variables",
      "dependence assumptions",
      "sure convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}