{
  "id": "0904.0538",
  "version": "v1",
  "published": "2009-04-03T09:46:21.000Z",
  "updated": "2009-04-03T09:46:21.000Z",
  "title": "Cesáro summation for random fields",
  "authors": [
    "Allan Gut",
    "Ulrich Stadtmueller"
  ],
  "comment": "12pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Various methods of summation for divergent series of real numbers have been generalized to analogous results for sums of iid random variables. The natural extension of results corresponding to Ces\\`aro summation amounts to proving almost sure convergence of the Ces\\`aro means. In the present paper we extend such results as well as weak laws and results on complete convergence to random fields, more specifically to random variables indexed by $\\mathbb{Z}_+^2$, the positive two-dimensional integer lattice points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-03T09:46:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random fields",
      "cesáro summation",
      "positive two-dimensional integer lattice points",
      "iid random variables",
      "divergent series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.0538G"
    }
  }
}