• Title of article

    The weak convergence for self-normalized -statistics with dependent samples

  • Author/Authors

    Fu، نويسنده , , Ke-Ang، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2012
  • Pages
    5
  • From page
    227
  • To page
    231
  • Abstract
    Let U n be a U -statistic based on a symmetric kernel h ( x , y ) and φ ∗ -mixing samples { X , X n ; n ≥ 1 } . Under some suitable conditions, the weak convergence of the self-normalized U -statistics is obtained, which extends a previous result for independent cases.
  • Keywords
    Hoeffding’s decomposition , weak convergence , product , U -statistics , ? ? -mixing
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2012
  • Journal title
    Applied Mathematics Letters
  • Record number

    1528245