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Exponential and moment inequalities for U-statistics

Evarist Giné·Rafał Latała·Joel Zinn
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Abstract

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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Evarist Giné, Rafał Latała, Joel Zinn. 2000-03-31. Exponential and moment inequalities for U-statistics. https://doi.org/10.1007/978-1-4612-1358-1_2

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