A sharper bound of the Hotelling-Solomons inequality
Statistics Theory
2023-10-31 v2 Statistics Theory
Abstract
The original Hotelling-Solomons inequality indicates that an upper bound of |mean - median|/(standard deviation) is 1. In this note, we find a new bound depending on the sample size, which is strictly smaller than 1.
Keywords
Cite
@article{arxiv.2310.10303,
title = {A sharper bound of the Hotelling-Solomons inequality},
author = {Yuzo Maruyama},
journal= {arXiv preprint arXiv:2310.10303},
year = {2023}
}
Comments
references added, typo corrected