面板计数数据和区间删失数据是事件史研究中经常出现的两种不完整数据。几乎所有现有的统计方法都是为单独分析而开发的。在本文中，我们研究了一种更一般的情况，即循环事件过程和区间删失故障事件同时发生。为了直观、清晰地解释循环电流过程与故障事件之间的关系，我们通过完全未指定的链接函数提出了故障时间相关的平均模型。为了克服非参数成分和参数回归系数混合带来的挑战，我们开发了一个两阶段的基于条件预期似然的估计程序。我们建立了所提出的两阶段估计器的一致性、收敛速度和渐近正态性。此外，我们构建了一类双样本检验来比较不同组的平均函数。所提出的方法通过广泛的模拟研究进行了评估，并用激发本研究的皮肤癌数据进行了说明。© 2023 John Wiley

Panel count data and interval-censored data are two types of incomplete data that often occur in event history studies. Almost all existing statistical methods are developed for their separate analysis. In this paper, we investigate a more general situation where a recurrent event process and an interval-censored failure event occur together. To intuitively and clearly explain the relationship between the recurrent current process and failure event, we propose a failure time-dependent mean model through a completely unspecified link function. To overcome the challenges arising from the blending of nonparametric components and parametric regression coefficients, we develop a two-stage conditional expected likelihood-based estimation procedure. We establish the consistency, the convergence rate and the asymptotic normality of the proposed two-stage estimator. Furthermore, we construct a class of two-sample tests for comparison of mean functions from different groups. The proposed methods are evaluated by extensive simulation studies and are illustrated with the skin cancer data that motivated this study.© 2023 John Wiley & Sons Ltd.