Necessary and sufficient conditions on $P$ for the unit balls of $BL(\mathbf{R})$ and $\operatorname{Lip}(\mathbf{R})$ to be functional $P$-Donsker classes are obtained.
Publié le : 1986-10-14
Classification:
Empirical processes,
functional Donsker classes,
Lipschitz and bounded Lipschitz functions,
60F17
@article{1176992373,
author = {Gine, Evarist and Zinn, Joel},
title = {Empirical Processes Indexed by Lipschitz Functions},
journal = {Ann. Probab.},
volume = {14},
number = {4},
year = {1986},
pages = { 1329-1338},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992373}
}
Gine, Evarist; Zinn, Joel. Empirical Processes Indexed by Lipschitz Functions. Ann. Probab., Tome 14 (1986) no. 4, pp. 1329-1338. http://gdmltest.u-ga.fr/item/1176992373/