{
  "id": "2103.03213",
  "version": "v1",
  "published": "2021-03-04T18:35:48.000Z",
  "updated": "2021-03-04T18:35:48.000Z",
  "title": "Parisian Ruin for Insurer and Reinsurer under Quata-Share Treaty",
  "authors": [
    "Grigori Jasnovidov",
    "Aleksandr Shemendyuk"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this contribution we study asymptotics of the simultaneous Parisian ruin probability of a two-dimensional fractional Brownian motion risk process. This risk process models the surplus processes of an insurance and a reinsurance companies, where the net loss is distributed between them in given proportions. We also propose an approach for simulation of Pickands and Piterbarg constants appearing in the asymptotics of the ruin probability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-04T18:35:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G15",
      "60G70"
    ],
    "keywords": [
      "parisian ruin",
      "quata-share treaty",
      "fractional brownian motion risk process",
      "two-dimensional fractional brownian motion risk",
      "ruin probability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}