{
  "id": "1009.5141",
  "version": "v1",
  "published": "2010-09-27T01:57:58.000Z",
  "updated": "2010-09-27T01:57:58.000Z",
  "title": "A generalization of random self-decomposability",
  "authors": [
    "S Satheesh",
    "E Sandhya"
  ],
  "comment": "7 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "The notion of random self-decomposability is generalized here. Its relation to self-decomposability, Harris infinite divisibility and its connection with a stationary first order generalized autoregressive model are presented. The notion is then extended to $\\mathbf{Z_+}$-valued distributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-27T01:57:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E05",
      "60E07",
      "62E10",
      "62M10"
    ],
    "keywords": [
      "random self-decomposability",
      "generalization",
      "first order generalized autoregressive model",
      "harris infinite divisibility",
      "stationary first order generalized autoregressive"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.5141S"
    }
  }
}