School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, Zhejiang Province, China.
Collaborative Innovation Center of Statistical Data Engineering, Technology & Application, Zhejiang Gongshang University, Hangzhou, Zhejiang Province, China.
PLoS One. 2021 Dec 13;16(12):e0261224. doi: 10.1371/journal.pone.0261224. eCollection 2021.
Panel count data frequently occurs in follow-up studies, such as medical research, social sciences, reliability studies, and tumorigenicity experiences. This type data has been extensively studied by various statistical models with time-invariant regression coefficients. However, the assumption of invariant coefficients may be violated in some reality, and the temporal covariate effects would be of great interest in research studies. This motivates us to consider a more flexible time-varying coefficient model. For statistical inference of the unknown functions, the quantile regression approach based on the B-spline approximation is developed. Asymptotic results on the convergence of the estimators are provided. Some simulation studies are presented to assess the finite-sample performance of the estimators. Finally, two applications of bladder cancer data and US flight delay data are analyzed by the proposed method.
面板计数数据在随访研究中经常出现，例如医学研究、社会科学、可靠性研究和肿瘤发生经验。这种类型的数据已经被各种具有时不变回归系数的统计模型广泛研究。然而，在某些现实情况下，不变系数的假设可能会被违反，并且时间协变量的影响在研究中将会非常有趣。这促使我们考虑更灵活的时变系数模型。对于未知函数的统计推断，我们开发了基于 B 样条逼近的分位数回归方法。提供了关于估计量收敛性的渐近结果。进行了一些模拟研究来评估估计量的有限样本性能。最后，通过提出的方法分析了膀胱癌数据和美国航班延误数据的两个应用。
