Interval censoring and the existence of a cured subgroup occur quite often in survival studies and many procedures have been developed for dealing with each of the two issues individually or them together. In this paper, we discuss the situation where both issues exist and furthermore, interval censoring may be informative, for which there exists relatively much less literature. For the problem, we present a frailty-based joint model approach in which a frailty term is employed to describe the correlation between the failure time of interest and the censoring mechanism. For inference, a two-step estimation procedure is developed and in particular, the sieve maximum-likelihood estimation approach is used for estimation of the unknown function. The proposed estimators of regression parameters are shown to be consistent and asymptotically normal, and an extensive simulation study conducted suggests that the proposed procedure works well for practical situations. In addition, an application is provided.

间隔删失和治愈亚组的存在经常出现在生存研究中，并且已经开发了许多程序来单独或一起处理这两个问题中的每一个。在本文中，我们讨论了存在这两个问题的情况，此外，区间审查可能提供信息，对此文献相对较少。对于这个问题，我们提出了一种基于脆弱性的联合模型方法，其中使用脆弱性术语来描述感兴趣的故障时间与审查机制之间的相关性。对于推理，开发了一个两步估计程序，特别是，筛最大似然估计方法用于估计未知函数。回归参数的建议估计量被证明是一致的和渐近正态的，进行的广泛模拟研究表明，所提出的程序适用于实际情况。此外，还提供了一个应用程序。