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\footnotesize
\noindent Statistica Sinica {\bf 13}(2003), 673-689

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\centerline{\large\bf THE ESTIMATION OF THE SIZE OF AN OPEN}
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\centerline{\large\bf POPULATION USING LOCAL ESTIMATING EQUATIONS}
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\author{Hsin-Chou Yang and Richard Huggins}
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\centerline{\it National Tsing Hua University and
La Trobe University}
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\begin{quotation}
\noindent {\it Abstract:}
Local polynomial models for capture-recapture experiments on open
populations 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).\par
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\noindent {\it Key words and phrases:}
Capture-recapture, kernel function, martingale
estimating function, open population, sample coverage.\par
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