https://scholars.lib.ntu.edu.tw/handle/123456789/112721
標題: | AN ESTIMATING FUNCTION APPROACH TO THE INFERENCE OF CATCH-EFFORT MODELS | 作者: | CHANG, SHU-HUI | 關鍵字: | capture-recapture;heterogeneity;population size;removal model;sample coverage | 公開日期: | 1999 | 卷: | v.6 | 期: | n.3 | 起(迄)頁: | 313-334 | 來源出版物: | ENVIRONMENTAL AND ECOLOGICAL STATISTICS | 摘要: | A class of catch-effort models, which allows for heterogeneous removal probabilities, is proposed for closed populations. The model includes three types of removal probabilities: multiplicative, Poisson and logistic. The usual removal and generalized removal models then become special cases. The equivalence of the proposed model and a special type of capture-recapture model is discussed. A unified estimating function approach is used to estimate the initial population size. For the homogeneous model, the resulting population size estimator based on optimal estimating functions is asymptotically equivalent to the maximum likelihood estimator. One advantage for our approach is that it can be extended to handle the heterogeneous populations in which the maximum likelihood estimators do not exist. The bootstrap method is applied to construct variance estimators and confidence intervals. We illustrate the method by two real data examples. Results of a simulation study investigating the performance of the proposed estimation procedure are presented. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/84246 |
顯示於: | 流行病學與預防醫學研究所 |
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