Sreedevi E P, Sankaran P G
Department of Statistics, SNGS College, Pattambi, India.
Department of Statistics, Cochin University of Science and Technology, Cochin, India.
J Appl Stat. 2020 Jul 21;48(16):3102-3115. doi: 10.1080/02664763.2020.1795816. eCollection 2021.
In survival and reliability studies, panel count data arise when we investigate a recurrent event process and each study subject is observed only at discrete time points. If recurrent events of several types are possible, we obtain panel count data with competing risks. Such data arise frequently from transversal studies on recurrent events in demography, epidemiology and reliability experiments where the individuals cannot be observed continuously. In the present paper, we propose an isotonic regression estimator for the cause specific mean function of the underlying recurrent event process of a competing risks panel count data. Further, a nonparametric test is proposed to compare the cause specific mean functions of the panel count competing risks data. Asymptotic properties of the proposed estimator and test statistic are studied. A simulation study is conducted to assess the finite sample behaviour of the proposed estimator and test statistic. Finally, the procedures developed are applied to a real data arising from skin cancer chemo prevention trial.
在生存和可靠性研究中，当我们研究一个复发事件过程且每个研究对象仅在离散时间点被观察时，就会出现面板计数数据。如果可能发生几种类型的复发事件，我们就会得到具有竞争风险的面板计数数据。这类数据经常出现在人口统计学、流行病学和可靠性实验中关于复发事件的横断面研究中，在这些研究中个体不能被连续观察。在本文中，我们针对竞争风险面板计数数据的潜在复发事件过程的病因特异性均值函数提出了一种保序回归估计量。此外，还提出了一种非参数检验来比较面板计数竞争风险数据的病因特异性均值函数。研究了所提出的估计量和检验统计量的渐近性质。进行了一项模拟研究以评估所提出的估计量和检验统计量的有限样本行为。最后，将所开发的程序应用于一个来自皮肤癌化学预防试验的真实数据。
