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 language||English (US)|
|Number of pages||19|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|State||Published - 1987|
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