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

Cun-Hui Zhang ()
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Cun-Hui Zhang: Rutgers University

Journal of Theoretical Probability, 2001, vol. 14, issue 2, 511-525

Abstract: 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: sub-Bernoulli function; moment inequality; exponential inequality; tail probability; U-statistic; V-statistic (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1011171916115

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