Limit theorems for symmetric statistics of exchangeable random variables
The authors prove a central limit theorem for symmetric statistics of exchangeable random variables. It is an extension of the work of \textit{E. B. Dynkin} and \textit{A. Mandelbaum} [Ann. Stat. 11, 739-745 (1983; Zbl 0518.60050)] with an alternate proof. Wiener-Itô multiple integrals are used to express some examples including classical CLT for exchangeable sequences and limit distributions of some \(U\)-statistics.
scientific article; zbMATH DE number 203395