{
  "id": "1611.06995",
  "version": "v1",
  "published": "2016-11-21T20:23:11.000Z",
  "updated": "2016-11-21T20:23:11.000Z",
  "title": "Point processes in a metric space",
  "authors": [
    "Yuwei Zhao"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "As a useful and elegant tool of extreme value theory, the study of point processes on a metric space is important and necessary for the analyses of heavy-tailed functional data. This paper focuses on the definition and properties of such point processes. A complete convergence result for a regularly varying iid sequence in a metric space is proved as an example of the application in extreme value theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-21T20:23:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metric space",
      "point processes",
      "extreme value theory",
      "complete convergence result",
      "elegant tool"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}