Berry-Esséen and bootstrap results for generalized $L$-statistics
Roelof Helmers, Paul Janssen, Robert J. Serfling · Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands · 1990
The rate of convergence of the distribution of a generalized L-statistic to its normal limit is established.Based on this result the corresponding bootstrap approximation is shown to be asymptotically valid, thus providing an alternative to the use of the normal approximation.By the same method of proof the asymptotic accuracy of the bootstrap approximation of generalized L-statistics is also obtained.Studentized versions of the above results are also considered.