{
  "id": "1306.6205",
  "version": "v1",
  "published": "2013-06-26T11:32:30.000Z",
  "updated": "2013-06-26T11:32:30.000Z",
  "title": "Extrapolation of Stationary Random Fields",
  "authors": [
    "Evgeny Spodarev",
    "Elena Shmileva",
    "Stefan Roth"
  ],
  "comment": "52 pages, 25 figures. This is a review article, though Section 4 of the article contains new results on the weak consistency of the extrapolation methods as well as new extrapolation methods for $\\alpha$-stable fields with $0<\\alpha\\leq 1$",
  "categories": [
    "math.PR"
  ],
  "abstract": "We introduce basic statistical methods for the extrapolation of stationary random fields. For square integrable fields, we set out basics of the kriging extrapolation techniques. For (non--Gaussian) stable fields, which are known to be heavy tailed, we describe further extrapolation methods and discuss their properties. Two of them can be seen as direct generalizations of kriging.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-26T11:32:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stationary random fields",
      "direct generalizations",
      "square integrable fields",
      "kriging extrapolation techniques",
      "extrapolation methods"
    ],
    "tags": [
      "review article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 52,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.6205S"
    }
  }
}