{
  "id": "0910.2069",
  "version": "v1",
  "published": "2009-10-12T01:59:38.000Z",
  "updated": "2009-10-12T01:59:38.000Z",
  "title": "On the Association of Sum- and Max- Stable Processes",
  "authors": [
    "Yizao Wang",
    "Stilian A. Stoev"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We address the notion of association of sum- and max- stable processes from the perspective of linear and max-linear isometries. We establish the appealing results that these two classes of isometries can be identified on a proper space (the extended positive ratio space). This yields a natural way to associate to any max-stable process a sum-stable process. By using this association, we establish connections between structural and classification results for sum- and max- stable processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-12T01:59:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G52",
      "60G70"
    ],
    "keywords": [
      "stable processes",
      "association",
      "natural way",
      "max-linear isometries",
      "classification results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.2069W"
    }
  }
}