@article{ECP1047,
author = {Dmitriy Panchenko},
title = {Some Extensions of an Inequality of Vapnik and Chervonenkis},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {7},
year = {2002},
keywords = {Concentration of measure, empirical processes},
abstract = {The inequality of Vapnik and Chervonenkis controls the expectation of the function by its sample
average uniformly over a VC-major class of functions taking into account the size of the expectation.
Using Talagrand's kernel method we prove a similar result for the classes of functions for which Dudley's
uniform entropy integral or bracketing entropy integral is finite.},
pages = {no. 6, 55-65},
issn = {1083-589X},
doi = {10.1214/ECP.v7-1047},
url = {http://ecp.ejpecp.org/article/view/1047}}