Asymptotic normality of a nonparametric estimator of sample coverage

Details Asymptotic normality of a nonparametric estimator of sample coverage Asymptotic normality of a nonparametric estimator of sample coverage

2009-08-24

arxiv.org/abs/0908.3440v1

Annals of Statistics 2009, Vol. 37, No. 5A, 2582-2595

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/08-AOS658 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of

Scientific paper

10.1214/08-AOS658

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.

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