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，当我们调查重复事件过程并且仅在离散时间点观察每个研究对象时，会出现面板计数数据。如果几种类型的重复事件是可能的，我们将获得具有竞争风险的面板计数数据。这些数据经常来自对人口学、流行病学和可靠性实验中反复发生的事件的横向研究，其中个体无法被连续观察。在本文中，我们为竞争风险面板计数数据的潜在重复事件过程的原因特定平均函数提出了一个等渗回归估计器。此外，提出了一种非参数检验来比较面板计数竞争风险数据的原因特定平均函数。研究了所提出的估计量和检验统计量的渐近特性。进行模拟研究以评估所提出的估计器和检验统计量的有限样本行为。最后，将开发的程序应用于皮肤癌化学预防试验产生的真实数据。