ASYMPTOTIC NORMALITY OF A NONPARAMETRIC ESTIMATOR OF SAMPLE COVERAGE

• 成果类型: Article
• 署名作者: Zhang, Cun-Hui; Zhang, Zhiyi
• 署名单位: Rutgers University System; Rutgers University New Brunswick; University of North Carolina; University of North Carolina Charlotte
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/08-AOS658
• 发表日期: 2009
• 页码: 2582-2595
• 关键词: NUMBER; probability; population; bounds

摘要

This paper establishes a necessary and sufficient condition for the asymptotic normality of the nonparametric estimator of sample coverage proposed by Good [Biometrica 40 (1953) 237-264]. This new necessary and sufficient condition extends the validity of the asymptotic normality beyond the previously proven cases.