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 necessary and sufficient conditions for the a.s. convergence of series of an analogous form.
Citation
Rafał Latała. Joel Zinn. "Necessary and sufficient conditions for the strong law of large numbers for U-statistics." Ann. Probab. 28 (4) 1908 - 1924, October 2000. https://doi.org/10.1214/aop/1019160513
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