An improved nonparametric lower bound of species richness via a modified good-turing frequency formula

DOI10.1111/BIOM.12200zbMath1299.92036OpenAlexW2110048017WikidataQ46859233 ScholiaQ46859233MaRDI QIDQ2927622

Anne Chao, Chun-Huo Chiu, Bruno A. Walther, Yi-ting Wang

Publication date: 4 November 2014

Published in: Biometrics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/biom.12200

zbMATH Keywords

species richnessabundance dataGood-Turing frequency formulaincidence data

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Ecology (92D40) Genetics and epigenetics (92D10)

Related Items (7)

Exact steady-state distributions of multispecies birth-death-immigration processes: effects of mutations and carrying capacity on diversity ⋮ Mathematical characterization of private and public Immune receptor sequences ⋮ A correction to make Chao estimator conservative when the number of sampling occasions is finite ⋮ Population size estimation and heterogeneity in capture-recapture data: a linear regression estimator based on the Conway-Maxwell-Poisson distribution ⋮ Thirty years of progeny from Chao’s inequality: Estimating and comparing richness with incidence data and incomplete sampling ⋮ A modification of Chao's lower bound estimator in the case of one-inflation ⋮ Species abundance distribution and species accumulation curve: a general framework and results

Uses Software

• SPADE

Cites Work

• An extension of Chao's estimator of population size based on the first three capture frequency counts
• Estimating species richness by a Poisson-compound gamma model
• Estimating the Population Size for Capture-Recapture Data with Unequal Catchability
• THE NUMBER OF NEW SPECIES, AND THE INCREASE IN POPULATION COVERAGE, WHEN A SAMPLE IS INCREASED
• Log-Linear Models for Capture-Recapture
• Estimating the Number of Classes via Sample Coverage
• Estimation of the size of a closed population when capture probabilities vary among animals
• Turing’s anticipation of empirical bayes in connection with the cryptanalysis of the naval enigma^*
• Nonparametric Lower Bounds for Species Richness and Shared Species Richness under Sampling without Replacement
• Estimating the Total Probability of the Unobserved Outcomes of an Experiment
• THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS

This page was built for publication: An improved nonparametric lower bound of species richness via a modified good-turing frequency formula