Asymptotic normality of a nonparametric estimator of sample coverage

Authors
Zhang, Cun-Hui Zhang, Zhiyi
Citation
Zhang, Cun-hui et Zhang, Zhiyi, Asymptotic normality of a nonparametric estimator of sample coverage, Annals of statistics , 37(5A), 2009, pp. 2582-2595
Journal title
Annals of statistics → ACNP
ISSN journal
00905364
Volume
37
Issue
5A
Year of publication
2009
Pages
2582 - 2595
Database
ACNP
SICI code
Abstract
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.