A nonparametric method of estimation of the population size in capture-recapture experiments

被引:3
|
作者
Dolores Jimenez-Gamero, Maria [1 ]
Puig, Pedro [2 ,3 ]
机构
[1] Univ Seville, Dept Estadist & IO, Seville, Spain
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
[3] Barcelona Grad Sch Math BGSMath, Barcelona, Spain
关键词
asymptotic normality; Chao's estimator; empirical probability generating function; LC-class; Turing's estimator; zero-truncated count distributions; SPECIES RICHNESS; LOWER BOUNDS; NONIDENTIFIABILITY; PARAMETER; DISTANCE; NUMBER;
D O I
10.1002/bimj.201900185
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A recent method for estimating a lower bound of the population size in capture-recapture samples is studied. Specifically, some asymptotic properties, such as strong consistency and asymptotic normality, are provided. The introduced estimator is based on the empirical probability generating function (pgf) of the observed data, and it is consistent for count distributions having a log-convex pgf (LC-class). This is a large family that includes mixed and compound Poisson distributions, and their independent sums and finite mixtures as well. The finite-sample performance of the lower bound estimator is assessed via simulation showing a better behavior than some close competitors. Several examples of application are also analyzed and discussed.
引用
收藏
页码:970 / 988
页数:19
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