An improvement of Tusn\'ady's inequality in the bulk
Statistics Theory
2021-11-16 v3 Probability
Statistics Theory
Abstract
We prove a non-asymptotic generalization of the refined continuity correction developed in Cressie (1978) for the Binomial distribution, which we then use to improve the versions of Tusn\'ady's inequality from Massart (2002) and Carter & Pollard (2004) in the bulk.
Keywords
Cite
@article{arxiv.2010.15917,
title = {An improvement of Tusn\'ady's inequality in the bulk},
author = {Frédéric Ouimet},
journal= {arXiv preprint arXiv:2010.15917},
year = {2021}
}
Comments
18 pages, 1 figure