ABSTRACT Panel count data frequently arise in various applications such as medical research, social sciences and so on. In this paper, a partially varying coefficient model of the panel count data with informative observation times is developed to accommodate the nonlinear interact effects between covariates. For statistical inference of the unknown parameters, quantile regression approaches are proposed, in which the baseline function and the varying coefficients are approximated by B-spline functions. Moreover, asymptotic properties for the estimators are established. Some numerical studies are performed to confirm and evaluate the finite-sample behaviours of the proposed approaches. Finally, the proposed model is applied to the bladder cancer tumour data as an application.

中文翻译：

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具有信息性观察时间的面板计数数据的部分变化系数模型的分位数估计

摘要 面板计数数据经常出现在各种应用中，例如医学研究、社会科学等。在本文中，开发了具有信息性观察时间的面板计数数据的部分变化系数模型，以适应协变量之间的非线性交互效应。对于未知参数的统计推断，提出了分位数回归方法，其中基线函数和变化系数由 B 样条函数近似。此外，建立了估计量的渐近性质。进行了一些数值研究以确认和评估所提出方法的有限样本行为。最后，将所提出的模型应用于膀胱癌肿瘤数据作为应用。