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Moderate deviation principle for the chi-square statistics

Published: August 17, 2025 | arXiv ID: 2508.12380v1

By: Zhenhong Yu, Yu Miao

Potential Business Impact:

Finds patterns in changing data.

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.

Page Count
15 pages

Category
Mathematics:
Statistics Theory