零膨胀泊松回归模型的频率模型平均

Jianhong Zhou, Alan T. K. Wan, Dalei Yu
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引用次数: 0

摘要

本文研究了零膨胀泊松回归模型未知参数估计的频率模型平均方法。我们提出的权重选择过程是基于一个条件二次损失函数的无偏估计的最小化。通过仿真研究,证明了所得到的模型平均估计量具有最优的渐近性,并改善了两种常用的基于信息的模型选择估计量及其模型平均估计量的有限样本性质。通过实际数据算例说明了该方法的有效性。
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Frequentist model averaging for zero‐inflated Poisson regression models
This paper considers frequentist model averaging for estimating the unknown parameters of the zero‐inflated Poisson regression model. Our proposed weight choice procedure is based on the minimization of an unbiased estimator of a conditional quadratic loss function. We prove that the resulting model average estimator enjoys optimal asymptotic property and improves finite sample properties over the two commonly used information‐based model selection estimators and their model average estimators via simulation studies. The proposed method is illustrated by a real data example.
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