We derive Berry–Esséen bounds for a class of
Studentized statistics. The results are applied to Studentized
$U$-statistics, Studentized $L$-statistics and Studentized functions
of the sample mean to give the Berry–Esséen bounds under
conditions weaker than those obtained by alternative methods.
Publié le : 2000-01-14
Classification:
Berry–Esséen bound,
Studentized U-statistic,
Studentized L-statistic,
Studentized functions of the sample mean,
62E20,
60F05
@article{1019160129,
author = {Wang, Qiying and Jing, Bing-Yi and Zhao, Lincheng},
title = {The Berry-Ess\'een bound for Studentized statistics},
journal = {Ann. Probab.},
volume = {28},
number = {1},
year = {2000},
pages = { 511-535},
language = {en},
url = {http://dml.mathdoc.fr/item/1019160129}
}
Wang, Qiying; Jing, Bing-Yi; Zhao, Lincheng. The Berry-Esséen bound for Studentized statistics. Ann. Probab., Tome 28 (2000) no. 1, pp. 511-535. http://gdmltest.u-ga.fr/item/1019160129/