Moderate deviation principle for the chi-square statistics
Statistics Theory
2025-08-19 v1 Probability
Statistics Theory
Abstract
In the present paper, we consider the Pearson chi-square statistic defined on a finite alphabet which is assumed to dynamically vary as the sample size increases, and establish its moderate deviation principle.
Cite
@article{arxiv.2508.12380,
title = {Moderate deviation principle for the chi-square statistics},
author = {Zhenhong Yu and Yu Miao},
journal= {arXiv preprint arXiv:2508.12380},
year = {2025}
}