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零膨胀计数面板数据的子群分析

Subgroup analysis for zero-inflated count panel data

  • 摘要: 零膨胀泊松回归模型(zero-inflated Poisson, ZIP)广泛用于处理存在过量零值的计数数据。本文提出了一种零膨胀泊松混合效应模型,以考虑重复测量数据中的相关性,并识别异质群体中的子群结构。我们开发了一种迭代算法,用于估计所有个体的子群划分及对应的回归系数,通过平均交叉验证法(cross-validation with the averaging (CVA) method)来确定子群数量。在温和的假设条件下,所提出的估计量具有相合性且服从渐近正态分布。算法的有效性在仿真实验和真实数据集的应用中得到验证。

     

    Abstract: Zero-inflated Poisson (ZIP) regression model is widely used for count data with excess zeros. In this paper, we propose a zero-inflated Poisson mixed effects model to account for the correlation among repeated measurements and identify subgroups in heterogeneous populations. We develop an iterative algorithm to estimate the subgroup assignments and corresponding regression coefficients for all individuals, with the number of subgroups determined by the averaging cross-validation (CVA) method. Under mild assumptions, the proposed estimator exhibits consistency and asymptotically follows a normal distribution. The effectiveness of our method is demonstrated through extensive simulation studies and an application to a real dataset.

     

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