A short proof of the lower bound in the strong version of the
famous Theorem 1A in Kiefer (1970) on the Bahadur-Kiefer process is
presented. The proof is elementary and, in particular, does not use strong
approximations.
Publié le : 1996-01-14
Classification:
Bahadur-Kiefer process,
empirical and quantile process,
strong law,
62G30,
60F15
@article{1042644730,
author = {Einmahl, John H. J.},
title = {A short and elementary proof of the main Bahadur-Kiefer
theorem},
journal = {Ann. Probab.},
volume = {24},
number = {2},
year = {1996},
pages = { 526-531},
language = {en},
url = {http://dml.mathdoc.fr/item/1042644730}
}
Einmahl, John H. J. A short and elementary proof of the main Bahadur-Kiefer
theorem. Ann. Probab., Tome 24 (1996) no. 2, pp. 526-531. http://gdmltest.u-ga.fr/item/1042644730/