Asymptotic normality of a nonparametric estimator of sample coverage

TL;DR

This paper provides a comprehensive condition for the asymptotic normality of a nonparametric sample coverage estimator, extending its applicability beyond previous limitations.

Contribution

It establishes a necessary and sufficient condition for the estimator's asymptotic normality, broadening the theoretical understanding of its behavior.

Findings

Extended the validity of asymptotic normality for the estimator

Provided a necessary and sufficient condition for normality

Enhanced theoretical foundation for nonparametric sample coverage estimation

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.