Pollock K H, Otto M C
Biometrics. 1983 Dec;39(4):1035-49.
In this paper the problem of finding robust estimators of population size in closed K-sample capture-recapture experiments is considered. Particular attention is paid to models where heterogeneity of capture probabilities is allowed. First, a general estimation procedure is given which does not depend on any assumptions about the form of the distribution of capture probabilities. This is followed by a detailed discussion of the usefulness of the generalized jackknife technique to reduce bias. Numerical comparisons of the bias and variance of various estimators are given. Finally, a general discussion is given with several recommendations on estimators to be used in practice.
本文考虑了在封闭的K样本捕获-再捕获实验中寻找总体大小稳健估计量的问题。特别关注允许捕获概率存在异质性的模型。首先，给出了一种不依赖于捕获概率分布形式任何假设的一般估计程序。随后详细讨论了广义刀切法在减少偏差方面的有用性。给出了各种估计量偏差和方差的数值比较。最后，进行了一般性讨论，并就实际中应使用的估计量提出了若干建议。
