In this paper, we extend the vertical modeling approach for the analysis of survival data with competing risks to incorporate a cure fraction in the population, that is, a proportion of the population for which none of the competing events can occur. The proposed method has three components: the proportion of cure, the risk of failure, irrespective of the cause, and the relative risk of a certain cause of failure, given a failure occurred. Covariates may affect each of these components. An appealing aspect of the method is that it is a natural extension to competing risks of the semi-parametric mixture cure model in ordinary survival analysis; thus, causes of failure are assigned only if a failure occurs. This contrasts with the existing mixture cure model for competing risks of Larson and Dinse, which conditions at the onset on the future status presumably attained. Regression parameter estimates are obtained using an EM-algorithm. The performance of the estimators is evaluated in a simulation study. The method is illustrated using a melanoma cancer data set.

中文翻译：

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垂直建模：使用治愈分数分析竞争风险数据。

在本文中，我们将垂直建模方法扩展为用于分析具有竞争风险的生存数据，以在人群中纳入治愈分数，也就是说，没有竞争事件发生的人群比例。所提出的方法具有三个组成部分：治愈的比例，失败的风险（与原因无关）以及特定的失败原因的相对风险（如果发生了失败）​​。协变量可能会影响这些组件中的每一个。该方法的一个吸引人的方面是，它是对普通生存分析中半参数混合物固化模型竞争风险的自然扩展。因此，仅在发生故障时才分配故障原因。这与针对Larson和Dinse竞争风险的现有混合疗法模型形成了鲜明的对比，大概在未来状态开始时达到了哪些条件。回归参数估计值是使用EM算法获得的。在模拟研究中评估估计器的性能。使用黑色素瘤癌症数据集说明了该方法。