Total variation bounds in the Lindeberg central limit theorem
Probability
2025-11-25 v2
Abstract
In this paper, we obtain an explicit total variation bound in the central limit theorem for the sums of non-i.i.d. random variables. Our results show that, under suitable assumptions, Lindeberg's condition is sufficient and necessary for the convergence in total variation distance.
Keywords
Cite
@article{arxiv.2511.02391,
title = {Total variation bounds in the Lindeberg central limit theorem},
author = {N. T. Dung and H. T. P. Thao},
journal= {arXiv preprint arXiv:2511.02391},
year = {2025}
}
Comments
10 pages