Southampton Statistical Sciences Research Institute & Mathematical Sciences, University of Southampton, Southampton, UK.
Biom J. 2023 Feb;65(2):e2100343. doi: 10.1002/bimj.202100343. Epub 2022 Aug 15.
One-inflation in zero-truncated count data has recently found considerable attention. There are currently two views in the literature. In the first approach, the untruncated model is considered as one-inflated whereas in the second approach the truncated model is viewed as one-inflated. Here, we show that both models have identical model spaces as well as identical maximum likelihoods. Consequences of population size estimation are illuminated, and the findings are illustrated at hand of two case studies.
零截断计数数据中的一膨胀最近受到了相当多的关注。文献中有两种观点。在第一种方法中，未截断的模型被视为一膨胀，而在第二种方法中，截断的模型被视为一膨胀。在这里，我们表明这两种模型具有相同的模型空间和相同的最大似然。还说明了种群大小估计的结果，并通过两个案例研究说明了这些发现。
