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arXiv:0704.1643 [math.PR]AbstractReferencesReviewsResources

The LIL for $U$-statistics in Hilbert spaces

Radosław Adamczak, Rafał Latała

Published 2007-04-12Version 1

We give necessary and sufficient conditions for the (bounded) law of the iterated logarithm for $U$-statistics in Hilbert spaces. As a tool we also develop moment and tail estimates for canonical Hilbert-space valued $U$-statistics of arbitrary order, which are of independent interest.

Categories: math.PR
Subjects: 60F15, 60E15
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