{
  "id": "1110.6187",
  "version": "v1",
  "published": "2011-10-27T20:06:59.000Z",
  "updated": "2011-10-27T20:06:59.000Z",
  "title": "Convexification in the limit and strong law of large numbers for closed-valued random sets in Banach spaces",
  "authors": [
    "Francesco S. de Blasi",
    "Luca Tomassini"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove a strong law of large numbers for random sets with bounded and closed values contained in an arbitrary (not necessarily separable) Banach space. We make use of a notion of convergence of sets introduced by Fisher, which is stronger than Wijsman's convergence but in general not comparable with Mosco's convergence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-27T20:06:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "closed-valued random sets",
      "banach space",
      "strong law",
      "large numbers",
      "convexification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.6187D"
    }
  }
}