Abstract
We prove the law of large numbers for $U$-statistics whose underlying sequence of random variables satisfies an absolute regularity condition ($\beta$-mixing condition) under suboptimal conditions.
Citation
Miguel Arcones. "The Law of Large Numbers for $U$-statistics Under Absolute Regularity." Electron. Commun. Probab. 3 13 - 19, 1998. https://doi.org/10.1214/ECP.v3-988
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