{
  "id": "1408.4377",
  "version": "v1",
  "published": "2014-08-19T16:10:13.000Z",
  "updated": "2014-08-19T16:10:13.000Z",
  "title": "A strong and weak approximation scheme for stochastic differential equations driven by a time-changed Brownian motion",
  "authors": [
    "Ernest Jum",
    "Kei Kobayashi"
  ],
  "comment": "20 pages, 3 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper establishes a discretization scheme for a large class of stochastic differential equations driven by a time-changed Brownian motion with drift, where the time change is given by a general inverse subordinator. The scheme involves two types of errors: one generated by application of the Euler-Maruyama scheme and the other ascribed to simulation of the inverse subordinator. With the two errors carefully examined, the orders of strong and weak convergence are derived. Numerical examples are attached to support the convergence results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-19T16:10:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10",
      "60H35",
      "65C30"
    ],
    "keywords": [
      "stochastic differential equations driven",
      "time-changed brownian motion",
      "weak approximation scheme",
      "general inverse subordinator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.4377J"
    }
  }
}