{
  "id": "1308.1493",
  "version": "v1",
  "published": "2013-08-07T07:29:43.000Z",
  "updated": "2013-08-07T07:29:43.000Z",
  "title": "Uniform convergence of compactly supported wavelet expansions of Gaussian random processes",
  "authors": [
    "Yuriy Kozachenko",
    "Andriy Olenko",
    "Olga Polosmak"
  ],
  "comment": "This is an Author's Accepted Manuscript of an article published in the Communications in Statistics - Theory and Methods. 15 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "New results on uniform convergence in probability for expansions of Gaussian random processes using compactly supported wavelets are given. The main result is valid for general classes of nonstationary processes. An application of the obtained results to stationary processes is also presented. It is shown that the convergence rate of the expansions is exponential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-07T07:29:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G10",
      "60G15",
      "42C40"
    ],
    "keywords": [
      "gaussian random processes",
      "compactly supported wavelet expansions",
      "uniform convergence",
      "main result",
      "general classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.1493K"
    }
  }
}