{
  "id": "1001.3619",
  "version": "v3",
  "published": "2010-01-20T15:26:21.000Z",
  "updated": "2023-06-27T16:34:39.000Z",
  "title": "The measurability of hitting times",
  "authors": [
    "Richard F. Bass"
  ],
  "comment": "This is a post-publication version that has a correction incorporated",
  "categories": [
    "math.PR"
  ],
  "abstract": "Under very general conditions the hitting time of a set by a stochastic process is a stopping time. We give a new simple proof of this fact. The section theorems for optional and predictable sets are easy corollaries of the proof.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-28T17:32:44.000Z",
      "abstract": "Under very general conditions the hitting time of a set by a stochastic process is a stopping time. We give a new simple proof of this fact. The section theorems foroptional and predictable sets are easy corollaries of the proof.",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2023-06-27T16:34:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G07"
    ],
    "keywords": [
      "hitting time",
      "measurability",
      "section theorems foroptional",
      "stochastic process",
      "general conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}