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Estimation of the size of a closed population when capture probabilities vary among animals

Estimation of the size of a closed population when capture probabilities vary among animals Abstract SUMMARY A model which allows capture probabilities to vary by individuals is introduced for multiple recapture studies n closed populations. The set of individual capture probabilities is modelled as a random sample from an arbitrary probability distribution over the unit interval. We show that the capture frequencies are a sufficient statistic. A nonparametric estimator of population size is developed based on the generalized jackknife; this estimator is found to be a linear combination of the capture frequencies. Finally, tests of underlying assumptions are presented. This content is only available as a PDF. © 1978 Biometrika Trust http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Biometrika Oxford University Press

Estimation of the size of a closed population when capture probabilities vary among animals

Biometrika , Volume 65 (3) – Dec 1, 1978

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References (18)

Publisher
Oxford University Press
Copyright
© 1978 Biometrika Trust
ISSN
0006-3444
eISSN
1464-3510
DOI
10.1093/biomet/65.3.625
Publisher site
See Article on Publisher Site

Abstract

Abstract SUMMARY A model which allows capture probabilities to vary by individuals is introduced for multiple recapture studies n closed populations. The set of individual capture probabilities is modelled as a random sample from an arbitrary probability distribution over the unit interval. We show that the capture frequencies are a sufficient statistic. A nonparametric estimator of population size is developed based on the generalized jackknife; this estimator is found to be a linear combination of the capture frequencies. Finally, tests of underlying assumptions are presented. This content is only available as a PDF. © 1978 Biometrika Trust

Journal

BiometrikaOxford University Press

Published: Dec 1, 1978

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