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- Title
On Population Size Estimators in the Poisson Mixture Model.
- Authors
Mao, Chang Xuan; Yang, Nan; Zhong, Jinhua
- Abstract
Estimating population sizes via capture-recapture experiments has enormous applications. The Poisson mixture model can be adopted for those applications with a single list in which individuals appear one or more times. We compare several nonparametric estimators, including the Chao estimator, the Zelterman estimator, two jackknife estimators and the bootstrap estimator. The target parameter of the Chao estimator is a lower bound of the population size. Those of the other four estimators are not lower bounds, and they may produce lower confidence limits for the population size with poor coverage probabilities. A simulation study is reported and two examples are investigated.
- Subjects
BANGKOK (Thailand); HEROIN abuse; ESTIMATION theory; MATHEMATICAL models; PROBABILITY theory; POPULATION measurement (Population biology)
- Publication
Biometrics, 2013, Vol 69, Issue 3, p758
- ISSN
0006-341X
- Publication type
Article
- DOI
10.1111/biom.12044