{
  "id": "1708.08492",
  "version": "v1",
  "published": "2017-08-28T19:20:18.000Z",
  "updated": "2017-08-28T19:20:18.000Z",
  "title": "Martingale approximations for random fields",
  "authors": [
    "Magda Peligrad",
    "Na Zhang"
  ],
  "comment": "11 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we provide necessary and sufficient conditions for the mean square approximation of a random field with an ortho-martingale. The conditions are formulated in terms of projective criteria. Applications are given to linear and nonlinear random fields with independent innovations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-28T19:20:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G60",
      "60G48",
      "60F05",
      "60G10"
    ],
    "keywords": [
      "martingale approximations",
      "mean square approximation",
      "nonlinear random fields",
      "sufficient conditions",
      "independent innovations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}