{
  "id": "1305.5473",
  "version": "v1",
  "published": "2013-05-23T16:04:08.000Z",
  "updated": "2013-05-23T16:04:08.000Z",
  "title": "Laplace-Laplace analysis of the fractional Poisson process",
  "authors": [
    "Rudolf Gorenflo",
    "Francesco Mainardi"
  ],
  "comment": "20 pages. Some text may overlap with our E-prints: arXiv:1305.3074, arXiv:1210.8414, arXiv:1104.4041",
  "journal": "S. Rogosin (Ed), Analytical Methods of Analysis and Differential Equations, Minsk, 2012, pp. 43-58. [Kilbas Memorial Volume, AMADE 2011]",
  "categories": [
    "math.PR"
  ],
  "abstract": "We generate the fractional Poisson process by subordinating the standard Poisson process to the inverse stable subordinator. Our analysis is based on application of the Laplace transform with respect to both arguments of the evolving probability densities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-23T16:04:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "33E12",
      "45K05",
      "60G18",
      "60G50",
      "60G52",
      "60K05",
      "76R50"
    ],
    "keywords": [
      "fractional poisson process",
      "laplace-laplace analysis",
      "standard poisson process",
      "evolving probability densities",
      "inverse stable subordinator"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.5473G"
    }
  }
}