Kybernetika

Mason and Newton [8] introduced the generalized (exchangeably weighted) bootstrap procedure and proved its consistency for the empirical distribution function, the quantile function and the mean. Surprisingly, H�jek's [2] results on the asymptotic behavior of the simple linear rank statistics play the crucial role in the proof. Mason--Newton's work inspired several authors who applied this method successfully to other types of statistics.

The purpose of the paper is to point out how powerful tool is H�jek's rank statistics methodology in the proof of a.s. consistency for various resampling schemes and to survey the existing results.