paper

Moment Inequalities for Symmetric Statistics

arXiv:math/0005004

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.

PDF file, in Russian

Moment Inequalities for Symmetric Statistics · wovepaper