Marcinkiewicz–Zygmund strong laws for UU-statistics of weakly dependent observations

We prove the Marcinkiewicz–Zygmund Strong Law of Large Numbers for UU-statistics of strictly stationary, absolutely regular observations (ξi)i≥1(ξi)i≥1. Under suitable moment conditions and conditions on the mixing rate, we show that n−2+γ∑1≤i