{
  "id": "1307.1859",
  "version": "v1",
  "published": "2013-07-07T12:20:42.000Z",
  "updated": "2013-07-07T12:20:42.000Z",
  "title": "Convergence in $L_p([0,T])$ of wavelet expansions of $\\varphi$-sub-Gaussian random processes",
  "authors": [
    "Yuriy Kozachenko",
    "Andriy Olenko",
    "Olga Polosmak"
  ],
  "comment": "*Will appear in Methodology and Computing in Applied Probability. 15 pages, 2 figures. The final publication is available at link.springer.com. DOI: 10.1007/s11009-013-9346-7",
  "categories": [
    "math.PR"
  ],
  "abstract": "The article presents new results on convergence in $L_p([0,T])$ of wavelet expansions of $\\varphi$-sub-Gaussian random processes. The convergence rate of the expansions is obtained. Specifications of the obtained results are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-07T12:20:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G10",
      "60G15",
      "42C40"
    ],
    "keywords": [
      "sub-gaussian random processes",
      "wavelet expansions",
      "convergence rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1859K"
    }
  }
}