An invariance principle forU-statistics in simple random sampling without replacement

Summary Supplementing the well-known invariance principle forU-statistics based on i.i.d. observations (Miller and Sen 1972) we establish an invariance principle forU-statistics in case of simple random sampling from a sequence of finite populations. This generalizes the asymptotic normality-result of Nandi and Sen (1963), and permits e.g. to prove asymptotic normality ofU-statistics in the presence of random non-response.