Cramer-type large deviations for samples from a finite population

• 成果类型: Article
• 署名作者: Hu, Zhishui; Robinson, John; Wang, Qiying
• 署名单位: University of Sydney
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/009053606000001343
• 发表日期: 2007
• 页码: 673-696
• 关键词: berry-esseen bounds; Edgeworth Expansion; U-statistics; random-variables; inequalities

摘要

Cramer-type large deviations for means of samples from a finite population are established under weak conditions. The results are comparable to results for the so-called self-normalized large deviation for independent random variables. Cramer-type large deviations for the finite population Student t-statistic are also investigated.