Modified empirical CLT's under only pre-Gaussian conditions
Probability
2007-05-23 v1
Abstract
We show that a modified Empirical process converges to the limiting Gaussian process whenever the limit is continuous. The modification depends on the properties of the limit via Talagrand's characterization of the continuity of Gaussian processes.
Keywords
Cite
@article{arxiv.math/0612703,
title = {Modified empirical CLT's under only pre-Gaussian conditions},
author = {Shahar Mendelson and Joel Zinn},
journal= {arXiv preprint arXiv:math/0612703},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/074921706000000833 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)