\(U\)-statistics on a lattice of i. i. d. random variables
The authors extend several (most?) classical limit theorems for sums of i.i.d. random variables to the case of \(U\)-statistics based on multidimensionally indexed i.i.d. random variables. Martingale properties and an a.s. representation are essential ingredients.
scientific article; zbMATH DE number 1346171
scientific article