{
  "id": "2108.02058",
  "version": "v1",
  "published": "2021-08-04T13:33:54.000Z",
  "updated": "2021-08-04T13:33:54.000Z",
  "title": "Laplace Transforms of Improper Random Variables",
  "authors": [
    "Janhavi Prabhu",
    "Myronb Hlynka"
  ],
  "comment": "5 pages, 2 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "The probabilistic interpretation of Laplace transforms is used to help to describe the Laplace Transform $L(s)$ of improper random variables. In particular, busy periods in queueing models are examined. The value of $L(0)$ is explained in certain special cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-04T13:33:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K25",
      "44A10"
    ],
    "keywords": [
      "improper random variables",
      "laplace transform",
      "probabilistic interpretation",
      "busy periods",
      "special cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}