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

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

1999-01-17

arxiv.org/abs/math/9901068v1

Mathematics

Probability

LaTeX, 22 pages

Scientific paper

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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