Open Access
October 2009 Asymptotic normality of a nonparametric estimator of sample coverage
Cun-Hui Zhang, Zhiyi Zhang
Ann. Statist. 37(5A): 2582-2595 (October 2009). DOI: 10.1214/08-AOS658

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.

Citation

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Cun-Hui Zhang. Zhiyi Zhang. "Asymptotic normality of a nonparametric estimator of sample coverage." Ann. Statist. 37 (5A) 2582 - 2595, October 2009. https://doi.org/10.1214/08-AOS658

Information

Published: October 2009
First available in Project Euclid: 15 July 2009

zbMATH: 1173.62015
MathSciNet: MR2543704
Digital Object Identifier: 10.1214/08-AOS658

Subjects:
Primary: 62F10 , 62F12 , 62G05 , 62G20
Secondary: 62F15

Keywords: asymptotic normality , Sample coverage , Turing’s formula

Rights: Copyright © 2009 Institute of Mathematical Statistics

Vol.37 • No. 5A • October 2009
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