Hajizadeh Nastaran, Baghestani Ahmad Reza, Pourhoseingholi Mohamad Amin, Khadem Maboudi Ali Akbar
Department of Biostatistics, Faculty of Paramedical Sciences, Shahid Beheshti University of Medical Sciences, Tehran, Iran.
Physiotherapy Research Center, Department of Biostatistics, Faculty of Paramedical Sciences, Shahid Beheshti University of Medical Sciences, Tehran, Iran.
J Biopharm Stat. 2023 Jan 2;33(1):90-113. doi: 10.1080/10543406.2022.2080689. Epub 2022 Jun 7.
In several survival data, a proportion of units is not susceptible to the event of interest, even if, accompanied by a sufficiently large time, which is so-called immune or cured. In this paper, the defective Gamma 3-parameter Gompertz model with a frailty term is proposed for estimating the cure fraction. This model does not require adding extra parameters for modeling the cure rate, and it accommodates unimodal hazard shapes as well as monotone hazards. A simulation study has been carried out to assess the performance of the maximum likelihood estimators. The model was applied to two real data sets.
在多个生存数据中，即使经过足够长的时间，仍有一部分个体对感兴趣的事件不敏感，这就是所谓的免疫或治愈个体。本文提出了一种带有脆弱项的缺陷伽马三参数冈珀茨模型来估计治愈比例。该模型不需要添加额外参数来对治愈率进行建模，并且能够适应单峰风险形状以及单调风险。已进行了一项模拟研究来评估最大似然估计量的性能。该模型被应用于两个真实数据集。
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