{"ID":2881449,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2508.12380","arxiv_id":"2508.12380","title":"Moderate deviation principle for the chi-square statistics","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.","short_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.","url_abs":"https://arxiv.org/abs/2508.12380","url_pdf":"https://arxiv.org/pdf/2508.12380v1","authors":"[\"Zhenhong Yu\",\"Yu Miao\"]","published":"2025-08-17T14:31:44Z","proceeding":"math.ST","tasks":"[\"math.ST\",\"math.PR\"]","methods":"[]","has_code":false}