Thirty years of progeny from Chao’s inequality: Estimating and comparing richness with incidence data and incomplete sampling

DOI10.2436/20.8080.02.49zbMath1377.62043OpenAlexW2468278804MaRDI QIDQ4591484

Anne Chao, Robert K. Colwell

Publication date: 17 November 2017

Full work available at URL: https://ddd.uab.cat/pub/sort/sort_a2017m1-6v41n1/sort_a2017m1-6v41n1p3.pdf

zbMATH Keywords

extrapolationrarefactionCauchy-Schwarz inequalityspecies richnessformulaphylogenetic diversityshared species richnesssampling effortincidence dataChao2 estimatorGood-Turing frequency

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Sampling theory, sample surveys (62D05)

Related Items (8)

Joining the incompatible: exploiting purposive lists for the sample-based estimation of species richness ⋮ Estimating the size of undetected cases of the COVID-19 outbreak in Europe: an upper bound estimator ⋮ On the Turing estimator in capture-recapture count data under the geometric distribution ⋮ Unnamed Item ⋮ A correction to make Chao estimator conservative when the number of sampling occasions is finite ⋮ A modification of Chao's lower bound estimator in the case of one-inflation ⋮ A Good-Turing estimator for feature allocation models ⋮ How many refugees and migrants died trying to reach Europe? Joint population size and total estimation

Uses Software

• iNEXT
• SpadeR
• PhD
• EstimateS
• Phylomatic

Cites Work

• Unnamed Item
• An extension of Chao's estimator of population size based on the first three capture frequency counts
• Estimating the number of classes
• A nonparametric lower bound for the number of species shared by multiple communities
• A covariate adjustment for zero-truncated approaches to estimating the size of hidden and elusive populations
• On Population Size Estimators in the Poisson Mixture Model
• An improved nonparametric lower bound of species richness via a modified good-turing frequency formula
• Estimating the Population Size for Capture-Recapture Data with Unequal Catchability
• Inference on the Number of Species Through Geometric Lower Bounds
• LOWER BOUNDS TO THE POPULATION SIZE WHEN CAPTURE PROBABILITIES VARY OVER INDIVIDUALS
• Estimating the Number of Classes via Sample Coverage
• Estimating Population Size for Capture-Recapture Data When Capture Probabilities Vary by Time and Individual Animal
• A Generalization of Chao's Estimator for Covariate Information
• Abundance‐Based Similarity Indices and Their Estimation When There Are Unseen Species in Samples

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