The Law of Large Numbers for $U$-statistics Under Absolute Regularity

Miguel A. Arcones (University of Texas)

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.

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Pages: 13-19

Publication Date: March 4, 1998

DOI: 10.1214/ECP.v3-988

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