Moment Inequalities for Symmetric Statistics
Probability
2007-05-23 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.math/0005004,
title = {Moment Inequalities for Symmetric Statistics},
author = {R. Ibragimov and Sh. Sharakhmetov},
journal= {arXiv preprint arXiv:math/0005004},
year = {2007}
}
Comments
PDF file, in Russian