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首页> 外文期刊>Journal of statistical computation and simulation >Uncertainty estimation in heterogeneous capture-recapture count data
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Uncertainty estimation in heterogeneous capture-recapture count data

机译：异构捕获-捕获计数数据中的不确定性估计

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摘要

The Conway-Maxwell-Poisson estimator is considered in this paper as the population size estimator. The benefit of using the Conway-Maxwell-Poisson distribution is that it includes the Bernoulli, the Geometric and the Poisson distributions as special cases and, furthermore, allows for heterogeneity. Little emphasis is often placed on the variability associated with the population size estimate. This paper provides a deep and extensive comparison of bootstrap methods in the capture-recapture setting. It deals with the classical bootstrap approach using the true population size, the true bootstrap, and the classical bootstrap using the observed sample size, the reduced bootstrap. Furthermore, the imputed bootstrap, as well as approximating forms in terms of standard errors and confidence intervals for the population size, under the Conway-Maxwell-Poisson distribution, have been investigated and discussed. These methods are illustrated in a simulation study and in benchmark real data examples.
机译：本文将Conway-Maxwell-Poisson估计器视为总体规模估计器。使用Conway-Maxwell-Poisson分布的好处是，它包括Bernoulli，Geometric和Poisson分布作为特殊情况，并且允许异质性。通常很少强调与人口规模估计有关的变异性。本文对捕获-捕获设置中的引导方法进行了深入而广泛的比较。它使用真实的人口规模，真实的bootstrap处理经典的bootstrap方法，并使用观察到的样本量（缩减的bootstrap）处理classic bootstrap。此外，在Conway-Maxwell-Poisson分布下，研究了插补的自举以及在人口规模的标准误差和置信区间方面的近似形式。在模拟研究和基准真实数据示例中说明了这些方法。

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