Moment Inequalities for Symmetric Statistics

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.

Identifiers

DOI

10.48550/arxiv.math/0005004

Citations and references