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Estimation of Poisson mean with under-reported counts: a double sampling approach

机译:诗歌的估计意味着报告的计数:双重抽样方法

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摘要

Count data arising in various fields of applications are often under-reported. Ignoring undercount naturally leads to biased estimators and inaccurate confidence intervals. In the presence of undercount, in this paper, we develop likelihood-based methodologies for estimation of mean using validation data. The asymptotic distributions of the competing estimators of the mean are derived. The impact of ignoring undercount on the coverage and length of the confidence intervals is investigated using extensive numerical studies. Finally an analysis of heat mortality data is presented.
机译:通常须介绍在各种应用领域中产生的计数数据。忽略欠压自然导致偏置估计和不准确的置信区间。在欠下的情况下,在本文中,我们开发了基于可能性的方法,用于使用验证数据估计平均值。衍生平均值的竞争估计的渐近分布。研究使用广泛的数值研究研究了忽略欠压对置信区间的覆盖率和长度的影响。最后提出了对热死亡率数据的分析。

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