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

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9 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)133-151
Number of pages19
JournalProceedings of the Royal Society of Edinburgh: Section A Mathematics
Issue number1-2
StatePublished - 1987

ASJC Scopus subject areas

  • General Mathematics


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