A multivariate normal law for Turing's formulae

DOI10.1007/s13171-012-0019-3zbMath1284.62158OpenAlexW2032440662MaRDI QIDQ2392078

Zhiyi Zhang

Publication date: 7 August 2013

Published in: Sankhyā. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13171-012-0019-3

zbMATH Keywords

asymptotic multivariate normalityhigh-order Turing's formulae

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Point estimation (62F10) Bayesian inference (62F15)

Related Items (2)

Asymptotic properties of Turing's formula in relative error ⋮ Bias adjustment for a nonparametric entropy estimator

Cites Work

• Asymptotic normality of a nonparametric estimator of sample coverage
• Re-parameterization of multinomial distributions and diversity indices
• A normal limit law for a nonparametric estimator of the coverage of a random sample
• Entropy Estimation in Turing's Perspective
• Estimating the Number of Species in a Stochastic Abundance Model
• On Interchanging Limits and Integrals
• A sufficient normality condition for Turing's formula
• Bayesian Nonparametric Estimation of the Probability of Discovering New Species
• Estimating the Number of Classes via Sample Coverage
• A Poisson model for the coverage problem with a genomic application
• Estimating the Total Probability of the Unobserved Outcomes of an Experiment
• A Penalized Nonparametric Maximum Likelihood Approach to Species Richness Estimation
• The Characteristic Function of a Conditional Statistic
• THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS
• Sample size calculation for finding unseen species

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