Moderate deviation principle for the chi-square statistics

Fuente: arXiv
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Main Authors: Yu, Zhenhong, Miao, Yu
Format: Preprint
Published: 2025
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_version_ 1866912541105455104
author Yu, Zhenhong
Miao, Yu
author_facet Yu, Zhenhong
Miao, Yu
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_12380
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Moderate deviation principle for the chi-square statistics
Yu, Zhenhong
Miao, Yu
Statistics Theory
Probability
60F10, 62G30, 62G20
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.
title Moderate deviation principle for the chi-square statistics
topic Statistics Theory
Probability
60F10, 62G30, 62G20
url https://arxiv.org/abs/2508.12380