ABSTRACT Wong et al. [(2018), ‘Piece-wise Proportional Hazards Models with Interval-censored Data’, Journal of Statistical Computation and Simulation, 88, 140–155] studied the piecewise proportional hazards (PWPH) model with interval-censored (IC) data under the distribution-free set-up. It is well known that the partial likelihood approach is not applicable for IC data, and Wong et al. (2018) showed that the standard generalised likelihood approach does not work either. They proposed the maximum modified generalised likelihood estimator (MMGLE) and the simulation results suggest that the MMGLE is consistent. We establish the consistency and asymptotically normality of the MMGLE.

中文翻译：

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具有区间删失数据的分段比例风险模型下 MMGLE 的一致性

摘要 Wong 等人。[(2018), 'Piece-wise Proportional Hazards Models with Interval-censored Data', Journal of Statistical Computation and Simulation, 88, 140–155] 研究了分段比例风险 (PWPH) 模型与区间删失 (IC) 数据下免分发设置。众所周知，部分似然方法不适用于 IC 数据，Wong 等人。(2018) 表明标准的广义似然方法也不起作用。他们提出了最大修正广义似然估计器 (MMGLE)，仿真结果表明 MMGLE 是一致的。我们建立了 MMGLE 的一致性和渐近正态性。