Berry-Esseen bounds in the entropic central limit theorem
Probability
2011-08-23 v2
Abstract
Berry-Esseen-type bounds for total variation and relative entropy distances to the normal law are established for the sums of non-i.i.d. random variables.
Keywords
Cite
@article{arxiv.1105.4119,
title = {Berry-Esseen bounds in the entropic central limit theorem},
author = {Sergey G. Bobkov and Gennadiy P. Chistyakov and Friedrich Götze},
journal= {arXiv preprint arXiv:1105.4119},
year = {2011}
}
Comments
We corrected some misprints and added a discussion of relations to results involving Wasserstein distances by Rio