The LIL for $U$-statistics in Hilbert spaces
Probability
2015-01-06 v1
Abstract
We give necessary and sufficient conditions for the (bounded) law of the iterated logarithm for -statistics in Hilbert spaces. As a tool we also develop moment and tail estimates for canonical Hilbert-space valued -statistics of arbitrary order, which are of independent interest.
Keywords
Cite
@article{arxiv.0704.1643,
title = {The LIL for $U$-statistics in Hilbert spaces},
author = {Radosław Adamczak and Rafał Latała},
journal= {arXiv preprint arXiv:0704.1643},
year = {2015}
}