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Removal process estimation of population size for a population with a known sex ratio |
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| Authors: | Liping Liu Paul SF Yip Ray K Watson |
| Institution: | (1) LMAM School of Mathematical Science, Peking University, Beijing, People Republic of China;(2) Department of Statistics and Actuarial Science, University of Hong Kong, Pokfulam Road, Hong Kong;(3) Department of Mathematics and Statistics, University of Melbourne, Parkville, Australia |
| Abstract: | A removal model for estimating population size which uses the known population sex ratio is studied. A maximum likelihood estimate and an optimal martingale estimate of the population size are proposed. Their standard errors and large sample properties are obtained. Simulation studies are reported, and the performance of the proposed estimators are compared with the standard maximum likelihood estimator which ignores the sex ratio information. An example on a capture study of deer mice is given. |
| Keywords: | catch effort removal martingale estimating equations sex ratio |
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