• Title of article

    Some Moment and Exponential Inequalities for V-Statistics with Bounded Kernels

  • Author/Authors

    Cun-Hui Zhang، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    -510
  • From page
    511
  • To page
    0
  • Abstract
    This paper provides moment and exponential inequalities for V-statistics with uniformly bounded kernels. The main results are based on moment inequalities for sub-Bernoulli functions of independent random variables. These moment inequalities lead to extensions of the Bernstein inequality to V-statistics. U-statistics are also discussed.
  • Keywords
    moment inequality , exponential inequality , tail probability , U-statistic , V-statistic , sub-Bernoulli function
  • Journal title
    JOURNAL OF THEORETICAL PROBABILITY
  • Serial Year
    2001
  • Journal title
    JOURNAL OF THEORETICAL PROBABILITY
  • Record number

    108311