Mixture cure rate models with accelerated failures and nonparametric form of covariate effects
Mixture cure rate models with accelerated failures and nonparametric form of covariate effects
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DOI：
10.1080/10485252.2017.1404599
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发表时间：
2018-01-01
影响因子：
1.2
通讯作者：
Du, Pang
中科院分区：
文献类型：
--
作者：
Chen, Tianlei;Du, Pang
双组分混合治愈率模型在治愈率数据分析中很受欢迎，比例风险和加速失效时间（AFT）模型是建模延迟组分的主要竞争者。[Wang，L.，Du，P.，Liang，H.（2012），Two-Component Mixture Cure Rate Model with Spline Estimated Nonparametric Concentrants '，Biometrics，68，726-735]首先提出了非参数混合治愈率模型，其中潜伏期分量假设比例风险，在相对风险中具有非参数协变量效应。在这里，我们考虑一个混合治愈率模型，其中延迟分量假设AFT与加速因子中的非参数协变量效应。除了比比例风险更直接的物理解释，我们的模型有一个额外的标量参数，增加了计算算法以及渐近理论的复杂性。我们开发了一个惩罚EM算法估计与来自路易斯公式的置信区间。建立了参数估计的渐近收敛速度。仿真和应用到黑色素瘤的研究显示了我们的新方法的优点。
Two-component mixture cure rate model is popular in cure rate data analysis with the proportional hazards and accelerated failure time (AFT) models being the major competitors for modelling the latency component. [Wang, L., Du, P., and Liang, H. (2012), Two-Component Mixture Cure Rate Model with Spline Estimated Nonparametric Components', Biometrics, 68, 726-735] first proposed a nonparametric mixture cure rate model where the latency component assumes proportional hazards with nonparametric covariate effects in the relative risk. Here we consider a mixture cure rate model where the latency component assumes AFTs with nonparametric covariate effects in the acceleration factor. Besides the more direct physical interpretation than the proportional hazards, our model has an additional scalar parameter which adds more complication to the computational algorithm as well as the asymptotic theory. We develop a penalised EM algorithm for estimation together with confidence intervals derived from the Louis formula. Asymptotic convergence rates of the parameter estimates are established. Simulations and the application to a melanoma study shows the advantages of our new method.