{
  "id": "1610.06823",
  "version": "v1",
  "published": "2016-10-21T15:19:33.000Z",
  "updated": "2016-10-21T15:19:33.000Z",
  "title": "Asymptotic behaviors of bivariate Gaussian powered extremes",
  "authors": [
    "Wei Zhou",
    "Zuoxiang Peng"
  ],
  "comment": "22 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, joint asymptotics of powered maxima for a triangular array of bivariate powered Gaussian random vectors are considered. Under the H\\\"usler-Reiss condition, limiting distributions of powered maxima are derived. Furthermore, the second-order expansions of the joint distributions of powered maxima are established under the refined H\\\"usler-Reiss condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-21T15:19:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62E20",
      "60G70",
      "60F15",
      "60F05"
    ],
    "keywords": [
      "bivariate gaussian powered extremes",
      "asymptotic behaviors",
      "powered maxima",
      "bivariate powered gaussian random vectors",
      "joint distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}