{
  "id": "1311.3066",
  "version": "v1",
  "published": "2013-11-13T10:10:19.000Z",
  "updated": "2013-11-13T10:10:19.000Z",
  "title": "On the effect of perturbation of conditional probabilities in total variation",
  "authors": [
    "Alessandro Abate",
    "Frank Redig",
    "Ilya Tkachev"
  ],
  "journal": "Statistics & Probability Letters 88 (2014), pp. 1-8",
  "doi": "10.1016/j.spl.2014.01.009",
  "categories": [
    "math.PR"
  ],
  "abstract": "A celebrated result by A. Ionescu Tulcea provides a construction of a probability measure on a product space given a sequence of regular conditional probabilities. We study how the perturbations of the latter in the total variation metric affect the resulting product probability measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-13T10:10:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G99",
      "28A35"
    ],
    "keywords": [
      "perturbation",
      "total variation metric affect",
      "regular conditional probabilities",
      "resulting product probability measure",
      "product space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.3066A"
    }
  }
}