arXiv:0908.3440 Abstract | arXiv Analytics

arXiv:0908.3440 [math.ST]Abstract References Reviews Resources

Asymptotic normality of a nonparametric estimator of sample coverage

Published 2009-08-24Version 1

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.

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

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

DOI: 10.1214/08-AOS658

Categories: math.ST, stat.TH

Subjects: 62F12, 62G05, 62G20, 62F15

Keywords: asymptotic normality, nonparametric estimator, sample coverage, sufficient condition extends, proven cases

Tags: journal article

Related articles: Most relevant | Search more

arXiv:0810.1004 [math.ST] (Published 2008-10-06)

On asymptotic normality of sequential LS-estimates of unstable autoregressive processes

Leonid Galtchouk, Victor Konev

arXiv:1503.00741 [math.ST] (Published 2015-03-02)

On the asymptotic normality of kernel estimators of the long run covariance of functional time series