Exponential and moment inequalities for U-statistics

Details Exponential and moment inequalities for U-statistics Exponential and moment inequalities for U-statistics

2000-03-31

arxiv.org/abs/math/0003228v1

Mathematics

Probability

22 pages

Scientific paper

A Bernstein-type exponential inequality for (generalized) canonical
U-statistics of order 2 is obtained and the Rosenthal and Hoffmann-J{\o}rgensen
inequalities for sums of independent random variables are extended to
(generalized) U-statistics of any order whose kernels are either nonnegative or
canonical

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