Modified empirical CLT's under only pre-Gaussian conditions

Details Modified empirical CLT's under only pre-Gaussian conditions Modified empirical CLT's under only pre-Gaussian conditions

2006-12-22

arxiv.org/abs/math/0612703v1

IMS Lecture Notes Monograph Series 2006, Vol. 51, 173-184

Mathematics

Probability

Published at http://dx.doi.org/10.1214/074921706000000833 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/p

Scientific paper

10.1214/074921706000000833

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.

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