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

An extension of Chao’s estimator of population size based on the first three capture frequency counts
An extension of Chao’s estimator of population size based on the first three capture frequency counts
A new estimator for estimating the size of an elusive target population is presented using frequency counts from capture–recapture sampling. The proposed estimator is developed by extending the idea of Chao’s estimator using monotonicity of ratios of neighbouring frequency counts under a specific Poisson mixture sampling framework, the Poisson–Gamma mixture or negative binomial. The new estimator is achieved using a simple linear model on the basis of the log-ratio of neighbouring frequency counts as dependent variable which is valid under the Poisson–Gamma mixture. A simulation study is provided to study the performance of the proposed estimator under a variety of heterogeneous Poisson capture probabilities. Confidence interval estimation is done by means of an approximating normal approach and a modified bootstrap method, and was found to perform well. A variety of real data sets were also examined in order to illustrate the use of the proposed method.

0167-9473
2302-2311
Lanumteang, Krisana
f143fb7b-e70e-4540-ab8a-ca5c3178b24e
Böhning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Lanumteang, Krisana
f143fb7b-e70e-4540-ab8a-ca5c3178b24e
Böhning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1

Lanumteang, Krisana and Böhning, Dankmar (2011) An extension of Chao’s estimator of population size based on the first three capture frequency counts. Computational Statistics and Data Analysis, 55 (7), 2302-2311. (doi:10.1016/j.csda.2011.01.017).

Record type: Article

Abstract

A new estimator for estimating the size of an elusive target population is presented using frequency counts from capture–recapture sampling. The proposed estimator is developed by extending the idea of Chao’s estimator using monotonicity of ratios of neighbouring frequency counts under a specific Poisson mixture sampling framework, the Poisson–Gamma mixture or negative binomial. The new estimator is achieved using a simple linear model on the basis of the log-ratio of neighbouring frequency counts as dependent variable which is valid under the Poisson–Gamma mixture. A simulation study is provided to study the performance of the proposed estimator under a variety of heterogeneous Poisson capture probabilities. Confidence interval estimation is done by means of an approximating normal approach and a modified bootstrap method, and was found to perform well. A variety of real data sets were also examined in order to illustrate the use of the proposed method.

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More information

Published date: 1 July 2011
Organisations: Statistical Sciences Research Institute

Identifiers

Local EPrints ID: 210469
URI: http://eprints.soton.ac.uk/id/eprint/210469
ISSN: 0167-9473
PURE UUID: c36af9af-eb2e-48da-a51d-5d1cd66195ff
ORCID for Dankmar Böhning: ORCID iD orcid.org/0000-0003-0638-7106

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Date deposited: 09 Feb 2012 13:30
Last modified: 15 Mar 2024 03:39

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Author: Krisana Lanumteang

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