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A nonparametric method of estimation of the population size in capture–recapture experiments
Biometrical Journal ( IF 1.7 ) Pub Date : 2020-01-29 , DOI: 10.1002/bimj.201900185
María Dolores Jiménez-Gamero 1 , Pedro Puig 2, 3
Affiliation  

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 ( L C -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.

中文翻译:

在捕获-再捕获实验中估计种群大小的非参数方法

研究了一种用于估计捕获-再捕获样本中种群大小下限的最新方法。具体地,提供了一些渐近特性,例如强一致性和渐近正态性。引入的估计量基于观测数据的经验概率生成函数 (pgf),并且对于具有对数凸面 pgf ( LC 类) 的计数分布是一致的。这是一个大族,包括混合和复合泊松分布,以及它们的独立和和有限混合。下界估计器的有限样本性能是通过模拟评估的,显示出比一些接近的竞争对手更好的行为。还分析和讨论了几个应用实例。
更新日期:2020-01-29
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