{
  "id": "1506.04735",
  "version": "v1",
  "published": "2015-06-15T06:54:26.000Z",
  "updated": "2015-06-15T06:54:26.000Z",
  "title": "Infinite-Dimensional Monte-Carlo Integration",
  "authors": [
    "Gogi Rauli Pantsulaia"
  ],
  "comment": "9 pages",
  "categories": [
    "math.FA",
    "math.PR"
  ],
  "abstract": "By using main properties of uniformly distributed sequences of increasing finite sets in infinite-dimensional rectangles in $R^{\\infty}$ described in [{G.R. Pantsulaia,} {\\em On uniformly distributed sequences of an increasing family of finite sets in infinite-dimensional rectangles,} {Real Anal. Exchange.} {\\bf 36 (2)} (2010/2011), 325--340 ], an infinite-dimensional Monte-Carlo integration is elaborated and the validity of some new Strong Law type theorems are obtained in this paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-15T06:54:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28C10",
      "62D05",
      "G.3"
    ],
    "keywords": [
      "infinite-dimensional monte-carlo integration",
      "uniformly distributed sequences",
      "strong law type theorems",
      "infinite-dimensional rectangles",
      "increasing finite sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}