Abstract
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) |
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Pages (from-to) | 133-151 |
Number of pages | 19 |
Journal | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
Volume | 107 |
Issue number | 1-2 |
DOIs | |
State | Published - 1987 |
ASJC Scopus subject areas
- General Mathematics