We consider the Case 1 interval censoring approach for right‐censored survival data. An important feature of the model is that right‐censored event times are not observed exactly, but at some inspection times. The model covers as particular cases right‐censored data, current status data, and life table survival data with a single inspection time. We discuss the nonparametric estimation approach and consider three nonparametric estimators for the survival function of failure time: maximum likelihood, pseudolikelihood, and the naïve estimator. We establish strong consistency of the estimators with the L₁ rate of convergence. Simulation results confirm consistency of the estimators.

中文翻译：

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当前状态权限删失数据模型的非参数估计

我们考虑对右删节生存数据进行案例1区间删节方法。该模型的一个重要特征是，没有精确观察到右检查的事件时间，而是在某些检查时间。该模型在特定情况下包含具有单个检查时间的右删失数据，当前状态数据和生命表生存数据。我们讨论了非参数估计方法，并考虑了故障时间生存函数的三个非参数估计器：最大似然，伪似然和朴素估计器。我们用L ₁收敛速率建立估计量的强一致性。仿真结果证实了估计量的一致性。