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

Miguel Arcones
1998 Electronic Communications in Probability  
We prove the law of large numbers for U-statistics whose underlying sequence of random variables satisfies an absolute regularity condition (β-mixing condition) under suboptimal conditions.
doi:10.1214/ecp.v3-988 fatcat:mo7dt2ab4feffhxeu2ker6ex4q