Estimation in capture-recapture models when covariates are subject to measurement errors and missing data

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.