Bounds of the remainder in a combinatorial central limit theorem
Probability
2014-05-08 v1
Abstract
We derive new bounds of the remainder in a combinatorial central limit theorem without assumptions on independence and existence of moments of summands. For independent random variables our theorems imply Esseen and Berry-Esseen type inequalities, some other new bounds and a combinatorial central limit theorem in the case of infinite variations.
Keywords
Cite
@article{arxiv.1405.1670,
title = {Bounds of the remainder in a combinatorial central limit theorem},
author = {Andrei N. Frolov},
journal= {arXiv preprint arXiv:1405.1670},
year = {2014}
}