{
  "id": "2006.14283",
  "version": "v1",
  "published": "2020-06-25T09:57:33.000Z",
  "updated": "2020-06-25T09:57:33.000Z",
  "title": "Approximations to Weighted Sums of Random Variables",
  "authors": [
    "Amit N. Kumar"
  ],
  "comment": "15 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we obtain error bound for binomial and negative binomial approximations to weighted sums of locally dependent random variables, using Stein's method. We also discuss approximation results for weighted sums of independent random variables. We demonstrate our results through some applications in finance and runs in statistics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-25T09:57:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62E17",
      "62E20",
      "60F05",
      "60E05"
    ],
    "keywords": [
      "weighted sums",
      "independent random variables",
      "locally dependent random variables",
      "negative binomial approximations",
      "error bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}