{
  "id": "1112.1603",
  "version": "v4",
  "published": "2011-12-07T15:56:49.000Z",
  "updated": "2012-06-19T22:20:34.000Z",
  "title": "Stopping times are hitting times: a natural representation",
  "authors": [
    "Tom Fischer"
  ],
  "journal": "Fischer, T., 2012. On simple representations of stopping times and stopping time sigma-algebras. Statistics & Probability Letters. doi: 10.1016/j.spl.2012.09.024",
  "doi": "10.1016/j.spl.2012.09.024",
  "categories": [
    "math.PR"
  ],
  "abstract": "There exists a simple, didactically useful one-to-one relationship between stopping times and adapted c\\`agl\\`ad (LCRL) processes that are non-increasing and take the values 0 and 1 only. As a consequence, stopping times are always hitting times.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-06-19T22:20:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G40",
      "97K50",
      "97K60"
    ],
    "keywords": [
      "stopping times",
      "hitting times",
      "natural representation",
      "didactically useful one-to-one relationship"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.1603F"
    }
  }
}