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.
@article{1247663767,
author = {Zhang, Cun-Hui and Zhang, Zhiyi},
title = {Asymptotic normality of a nonparametric estimator of sample coverage},
journal = {Ann. Statist.},
volume = {37},
number = {1},
year = {2009},
pages = { 2582-2595},
language = {en},
url = {http://dml.mathdoc.fr/item/1247663767}
}
Zhang, Cun-Hui; Zhang, Zhiyi. Asymptotic normality of a nonparametric estimator of sample coverage. Ann. Statist., Tome 37 (2009) no. 1, pp. 2582-2595. http://gdmltest.u-ga.fr/item/1247663767/