The LIL for U-Statistics in Hilbert Spaces

Radosław Adamczak () and Rafał Latała ()
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Radosław Adamczak: Polish Academy of Sciences
Rafał Latała: Warsaw University

Journal of Theoretical Probability, 2008, vol. 21, issue 3, 704-744

Abstract: Abstract 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.

Keywords: U-statistics; Tail and moment estimates; Law of the iterated logarithm; 60F15; 60E15 (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10959-007-0134-6

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