{
  "id": "1010.1902",
  "version": "v1",
  "published": "2010-10-10T08:47:00.000Z",
  "updated": "2010-10-10T08:47:00.000Z",
  "title": "The maximum of the Gaussian $1/f^α$-noise in the case $α<1$",
  "authors": [
    "Zakhar Kabluchko"
  ],
  "comment": "7 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove that the appropriately normalized maximum of the Gaussian $1/f^{\\alpha}$-noise with $\\alpha<1$ converges in distribution to the Gumbel double-exponential law.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-10T08:47:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G15",
      "60G70",
      "60F05"
    ],
    "keywords": [
      "gumbel double-exponential law",
      "appropriately normalized maximum",
      "distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.1902K"
    }
  }
}