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Moment Inequalities for Symmetric Statistics

R. Ibragimov·Sh. Sharakhmetov
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Abstract

In this paper, we prove analogues of Khintchine and Rosenthal's moment inequalities for symmetric statistics (U-statistics) of arbitrary order. An example that shows significance of each term in the analogues of Rosenthal's bounds for symmetric statistics is constructed as well.

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R. Ibragimov, Sh. Sharakhmetov. 2000-05-01. Moment Inequalities for Symmetric Statistics. https://arxiv.org/abs/math/0005004

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