Necessary and Sufficient Conditions for the Strong Law of Large Numbers for U-statistics

Abstract

Under some mild regularity on the normalizing sequence, we obtain necessary and sufficient conditions for the Strong Law of Large Numbers for (symmetrized) U-statistics. We also obtain nasc's for the a.s. convergence of series of an analogous form.

arXiv commentLaTeX, 22 pages

Cited by in corpus (5)

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• Sectorial convergence of U-statistics
• The LIL for $U$-statistics in Hilbert spaces