Asymptotic normality of a nonparametric estimator of sample coverage

DOI10.1214/08-AOS658zbMath1173.62015arXiv0908.3440OpenAlexW3104209297MaRDI QIDQ834352

Zhiyi Zhang, Cun-Hui Zhang

Publication date: 19 August 2009

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3440

zbMATH Keywords

asymptotic normalitysample coverageTuring's formula

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Asymptotic properties of parametric tests (62F05)

Related Items (11)

Entropy Estimation in Turing's Perspective ⋮ A multivariate normal law for Turing's formulae ⋮ Moderate deviations for a nonparametric estimator of sample coverage ⋮ Unnamed Item ⋮ Methods for diversity and overlap analysis in T-cell receptor populations ⋮ Asymptotic properties of Turing's formula in relative error ⋮ Re-parameterization of multinomial distributions and diversity indices ⋮ Entropic moments and domains of attraction on countable alphabets ⋮ Bias adjustment for a nonparametric entropy estimator ⋮ On consistent and rate optimal estimation of the missing mass ⋮ Good–Turing frequency estimation in a finite population

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