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Two-parameter strong laws and maximal inequalities for U-statistics*

Published online by Cambridge University Press:  14 November 2011

Terry R. McConnell
Terry R. McConnell
Affiliation:
Department of Mathematics, 200 Carnegie, Syracuse University, Syracuse NY 13244-1150, U.S.A.
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Synopsis

We provide necessary and sufficient conditions for two-parameter convergence in the strong law of large numbers for U-statistics. We also obtain weak-type (1,1) inequalities for one and two-sample U-statistics of order 2 which are, in a sense, best possible.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 1-2 , 1987 , pp. 133 - 151
Copyright
Copyright © Royal Society of Edinburgh 1987

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