论文标题
估计零膨胀的泊松混合模型中的均值比率
Estimating the Ratio of Means in a Zero-inflated Poisson Mixture Model
论文作者
论文摘要
当每个组件遭受零通气（即多余的零计数）时，考虑了估计两组分泊松混合模型平均值比率的问题。这。可以将结果{\ IT驱动的泊松混合物（Zipm）模型}视为具有一个退化成分的三组分泊松混合模型。 EM算法应用于获得频繁估计器及其标准误差，后者是通过观察到的信息矩阵的显式表达式确定的。贝叶斯和经验贝叶斯估计量也是通过共轭先验及其基于数据的变体获得的。最后，比较了Zipm分布和ZTP（零截断的泊松）分布。
The problem of estimating the ratio of the means of a two-component Poisson mixture model is considered, when each component is subject to zero-inflation, i.e., excess zero counts. The. resulting {\it zero-inflated Poisson mixture (ZIPM) model} can be treated as a three-component Poisson mixture model with one degenerate component. The EM algorithm is applied to obtain frequentist estimators and their standard errors, the latter determined via an explicit expression for the observed information matrix. Bayes and empirical Bayes estimators also are obtained by means of conjugate priors and their data-based variants. Lastly, the ZIPM distribution and the ZTP (zero-truncated Poisson) distribution are compared.
