{
  "id": "1101.5195",
  "version": "v2",
  "published": "2011-01-27T02:04:51.000Z",
  "updated": "2012-04-11T01:56:28.000Z",
  "title": "A New Condition for the Invariance Principle for Stationary Random Fields",
  "authors": [
    "Yizao Wang",
    "Michael Woodroofe"
  ],
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "We establish a central limit theorem and an invariance principle for stationary random fields, with projective-type conditions. Our result is obtained via an m-dependent approximation method. As applications, we establish invariance principles for orthomartingales and functionals of linear random fields.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-11T01:56:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stationary random fields",
      "m-dependent approximation method",
      "linear random fields",
      "central limit theorem",
      "projective-type conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.5195W"
    }
  }
}