An extension of Chao's estimator of population size based on the first three capture frequency counts

DOI10.1016/J.CSDA.2011.01.017zbMath1328.62128OpenAlexW2031132810MaRDI QIDQ901627

K. Lanumteang, Dankmar Boehning

Publication date: 12 January 2016

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2011.01.017

zbMATH Keywords

capturenegative binomialChao's estimatorThompson estimatorestimation of population sizehomogeneous and heterogeneous Poisson modelshorvitzrecapture methods

Mathematics Subject Classification ID

Point estimation (62F10) Sampling theory, sample surveys (62D05)

Related Items (7)

Least-squares estimation of a convex discrete distribution ⋮ An improved nonparametric lower bound of species richness via a modified good-turing frequency formula ⋮ Upper bound estimators of the population size based on ordinal models for capture‐recapture experiments ⋮ Nonparametric species richness estimation under convexity constraint ⋮ 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

Cites Work

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• A simple variance formula for population size estimators by conditioning
• Robust estimation in truncated discrete distributions with application to capture-recapture experiments
• Estimating the Number of Species in a Stochastic Abundance Model
• Estimating the Population Size for Capture-Recapture Data with Unequal Catchability
• Point and interval estimation of the population size using the truncated Poisson regression model
• A Comparison of Population Size Estimators under the Truncated Count Model With and Without Allowance for Contaminations
• Interval Estimation of the Size of a Small Population from a Mark-Recapture Experiment
• A Generalization of Sampling Without Replacement From a Finite Universe

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