An error was detected in the derivation of the expression of the cumulative hazard function in a recently published paper by Safari, W. C., López-de-Ullibarri, I., and Jácome, M. A. (2021), A product-limit estimator of the conditional survival function when cure status is partially known. Biometrical Journal, 63(5), 984–1005, https://doi.org/10.1002/bimj.202000173. This short article aims to correct this error. There are some changes in the model notation in Section 2, the derivation of the expression of the cumulative hazard function in the Appendix, and the proofs of Lemmas 3 and 4 in the Supporting Information. Moreover, there is a small change in the generation of the values of the censoring variable in the simulation study. As a consequence, the simulation results in Section 4 are affected. A corrected version of these sections is given in the Supporting Information.

中文翻译：

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更正：部分已知治愈状态时条件生存函数的乘积极限估计量

在 Safari, WC、López-de-Ullibarri, I. 和 Jácome, MA (2021) 最近发表的一篇论文中，在推导累积风险函数的表达式时检测到错误，A product-limit estimator of the conditional部分知道治愈状态时的生存函数。生物统计学杂志，63 (5)，984–1005，https://doi.org/10.1002/bimj.202000173。这篇短文旨在纠正这个错误。第 2 节中的模型符号、附录中累积风险函数表达式的推导以及支持信息中引理 3 和 4 的证明有一些变化。此外，审查变量的值的生成有一个小的变化在模拟研究中。因此，第 4 节中的模拟结果受到影响。支持信息中提供了这些部分的更正版本。