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Estimation in capture–recapture models when covariates are subject to measurement errors and missing data |
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| Authors: | Liqun Xi Ray Watson Ji‐Ping Wang Paul S F Yip |
| Institution: | 1. Department of Statistics, Northwestern University, Evanston, IL 60208, USA;2. Department of Mathematics and Statistics, The University of Melbourne, Melbourne, Victoria, Australia;3. Department of Social Work and Social Administration, The University of Hong Kong, Hong Kong, China |
| Abstract: | For capture–recapture models when covariates are subject to measurement errors and missing data, a set of estimating equations is constructed to estimate population size and relevant parameters. These estimating equations can be solved by an algorithm similar to the EM algorithm. The proposed method is also applicable to the situation when covariates with no measurement errors have missing data. Simulation studies are used to assess the performance of the proposed estimator. The estimator is also applied to a capture–recapture experiment on the bird species Prinia flaviventris in Hong Kong. The Canadian Journal of Statistics 37: 645–658; 2009 © 2009 Statistical Society of Canada |
| Keywords: | Capture– recapture EM algorithm estimating function measurement error population size missing covariate MSC 2000: Primary 62P10 secondary 62F99 |