The estimation of the size of an open population using local estimating equations

Local polynomial models for capture-recapture experiments on open pop- ulations with frequent capture occasions and heterogeneous capture probabilities are proposed. A one-step bootstrap procedure is proposed to determine optimal bandwidths. It is shown in simulations that for heterogeneous populations the proposed procedure performs better than the kernel estimator of Huggins and Yip (1999) that was developed for homogeneous populations and the locally constant estimator of Huggins, Yang, Chao and Yip (2003).

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