ESTIMATING THE POPULATION-SIZE FOR CAPTURE RECAPTURE DATA WITH UNEQUAL CATCHABILITY
ESTIMATING THE POPULATION-SIZE FOR CAPTURE RECAPTURE DATA WITH UNEQUAL CATCHABILITY
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DOI：
10.2307/2531532
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发表时间：
1987-12-01
期刊：
影响因子：
1.9
通讯作者：
CHAO, A
中科院分区：
文献类型：
--
作者：
CHAO, A
在包含捕获概率异质性的模型下，提出了封闭种群大小的点估计器及其相关置信区间。 Edwards 和 Eberhardt (1967, Journal of Wildlife Management 31, 87-96) 和 Carothers (1973, Journal of Animal Ecology 42, 125-146) 提供的真实数据集用于说明该方法并将其与其他估计值进行比较。还通过蒙特卡罗实验研究了所提出程序的性能。当大多数被捕获的个体在样本中被捕获一次或两次时，该方法特别有用，在这种情况下，折刀估计器通常不能很好地工作。数值结果还表明，所提出的置信区间在维持名义水平方面表现令人满意。
A point estimator and its associated confidence interval for the size of a closed population are proposed under models that incorporate heterogeneity of capture probability. Real data sets provided in Edwards and Eberhardt (1967, Journal of Wildlife Management 31, 87-96) and Carothers (1973, Journal of Animal Ecology 42, 125-146) are used to illustrate this method and to compare it with other estimates. The performance of the proposed procedure is also investigated by means of Monte Carlo experiments. The method is especially useful when most of the captured individuals are caught once or twice in the sample, for which case the jackknife estimator usually does not work well. Numerical results also show that the proposed confidence interval performs satisfactorily in maintaining the nominal levels.