A normal limit law for a nonparametric estimator of the coverage of a random sample

DOI10.1214/aos/1176346256zbMath0599.62053OpenAlexW2047701135MaRDI QIDQ1080585

Warren W. Esty

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1214/aos/1176346256

zbMATH Keywords

confidence intervalsconvergence in distributionasymptotically normaloccupancy problemmultinomial population

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Nonparametric tolerance and confidence regions (62G15)

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Asymptotic normality of a nonparametric estimator of sample coverage ⋮ Entropy Estimation in Turing's Perspective ⋮ A multivariate normal law for Turing's formulae ⋮ Moderate deviations for a nonparametric estimator of sample coverage ⋮ Statistical Problems in Ancient Numismatics ⋮ Methods for diversity and overlap analysis in T-cell receptor populations ⋮ On estimating the conditional probability of discovering a new species ⋮ A sufficient normality condition for Turing's formula ⋮ 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 ⋮ Good–Turing frequency estimation in a finite population

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