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CAMCR: Computer assisted mixture model analysis for capture-recapture count data

Kuhnert, R. and Böhning, D. (2009) CAMCR: Computer assisted mixture model analysis for capture-recapture count data. AStA Advances in Statistical Analysis, 93 (1). pp. 61-71. ISSN 1863-8171

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To link to this article DOI: 10.1007/s10182-008-0092-z

Abstract/Summary

Population size estimation with discrete or nonparametric mixture models is considered, and reliable ways of construction of the nonparametric mixture model estimator are reviewed and set into perspective. Construction of the maximum likelihood estimator of the mixing distribution is done for any number of components up to the global nonparametric maximum likelihood bound using the EM algorithm. In addition, the estimators of Chao and Zelterman are considered with some generalisations of Zelterman’s estimator. All computations are done with CAMCR, a special software developed for population size estimation with mixture models. Several examples and data sets are discussed and the estimators illustrated. Problems using the mixture model-based estimators are highlighted.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics > Applied Statistics
ID Code:9638
Uncontrolled Keywords:CAMCR , Capture–recapture , Chao’s and Zelterman’s estimator of population size , Mixture of truncated Poisson distributions

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