Re-parameterization of multinomial distributions and diversity indices

DOI10.1016/J.JSPI.2009.12.023zbMath1184.62200OpenAlexW2062829699MaRDI QIDQ963862

Jun Zhou, Zhiyi Zhang

Publication date: 14 April 2010

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2009.12.023

zbMATH Keywords

asymptotic normalityasymptotic efficiencyUMVUEgeneralized Simpson's biodiversity indices

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Applications of statistics to environmental and related topics (62P12) Nonparametric estimation (62G05)

Related Items (9)

Entropy Estimation in Turing's Perspective ⋮ A multivariate normal law for Turing's formulae ⋮ Estimation of population size in entropic perspective ⋮ A new diversity estimator ⋮ Asymptotic normality for plug-in estimators of diversity indices on countable alphabets ⋮ Nonparametric Estimation of Küllback-Leibler Divergence ⋮ Entropic moments and domains of attraction on countable alphabets ⋮ Bias adjustment for a nonparametric entropy estimator ⋮ Entropic representation and estimation of diversity indices

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic normality of a nonparametric estimator of sample coverage
• A normal limit law for a nonparametric estimator of the coverage of a random sample
• Multiple Comparisons of Biodiversity
• A sufficient normality condition for Turing's formula
• Multiple Comparison of Entropies with Application to Dinosaur Biodiversity
• Estimating the Total Probability of the Unobserved Outcomes of an Experiment
• A Penalized Nonparametric Maximum Likelihood Approach to Species Richness Estimation
• Measurement of Diversity
• A Class of Statistics with Asymptotically Normal Distribution
• THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS

This page was built for publication: Re-parameterization of multinomial distributions and diversity indices