Exponential and moment inequalities for U-statistics

Abstract

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

22 pages

References in corpus (2)

• The LIL for canonical U-statistics of order 2
• Necessary and Sufficient Conditions for the Strong Law of Large Numbers for U-statistics

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