Necessary and sufficient conditions for the strong law of large numbers for U-statistics

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Necessary and sufficient conditions for the strong law of large numbers

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.

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ژورنال

عنوان ژورنال: The Annals of Probability

سال: 2000

ISSN: 0091-1798

DOI: 10.1214/aop/1019160513