Accelerated hazards mixture cure model.

Accelerated hazards mixture cure model.
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DOI:
10.1007/s10985-009-9126-4
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发表时间:
2009-12
影响因子:
1.3
通讯作者:
Peng Y
Peng Y
中科院分区:
数学3区
文献类型:
--
作者:
Zhang J;Peng Y

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我们提出了一种新的生存数据治愈模型,其中包含生存或治愈分数。新模型是混合治愈模型,其中对治愈比例的协变量效应和未治愈患者的失败时间分布进行单独建模。与现有的混合治愈模型不同,新模型允许未治愈患者的失败时间分布的协变量效应在零时间可以忽略不计,并且随着时间的推移而增加。当治疗效果从零逐渐增加时,这种模型在某些癌症治疗中特别有用,而现有模型通常无法正确处理这种情况。我们开发了一种基于排序的半参数估计方法来获得模型中参数的最大似然估计。我们通过模拟研究将其与现有模型和方法进行比较,并将该模型应用于乳腺癌数据集。数值研究表明,新模型为治愈模型文献提供了有用的补充。
We propose a new cure model for survival data with a surviving or cure fraction. The new model is a mixture cure model where the covariate effects on the proportion of cure and the distribution of the failure time of uncured patients are separately modeled. Unlike the existing mixture cure models, the new model allows covariate effects on the failure time distribution of uncured patients to be negligible at time zero and to increase as time goes by. Such a model is particularly useful in some cancer treatments when the treat effect increases gradually from zero, and the existing models usually cannot handle this situation properly. We develop a rank based semiparametric estimation method to obtain the maximum likelihood estimates of the parameters in the model. We compare it with existing models and methods via a simulation study, and apply the model to a breast cancer data set. The numerical studies show that the new model provides a useful addition to the cure model literature.
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