The cumulative incidence function quantifies the probability of failure over time due to a specific cause for competing risks data. The generalized semiparametric regression models for the cumulative incidence functions with missing covariates are investigated. The effects of some covariates are modeled as non-parametric functions of time while others are modeled as parametric functions of time. Different link functions can be selected to add flexibility in modeling the cumulative incidence functions. The estimation procedures based on the direct binomial regression and the inverse probability weighting of complete cases are developed. This approach modifies the full data weighted least squares equations by weighting the contributions of observed members through the inverses of estimated sampling probabilities which depend on the censoring status and the event types among other subject characteristics. The asymptotic properties of the proposed estimators are established. The finite-sample performances of the proposed estimators and their relative efficiencies under different two-phase sampling designs are examined in simulations. The methods are applied to analyze data from the RV144 vaccine efficacy trial to investigate the associations of immune response biomarkers with the cumulative incidence of HIV-1 infection.

中文翻译：

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缺失协变量累积关联函数的广义半参数回归模型分析

累积发生率函数量化了由于竞争风险数据的特定原因而导致的故障概率。研究了具有缺失协变量的累积关联函数的广义半参数回归模型。一些协变量的影响被建模为时间的非参数函数，而其他协变量的影响被建模为时间的参数函数。可以选择不同的链接函数来增加累积关联函数建模的灵活性。开发了基于直接二项式回归和完整案例的逆概率加权的估计程序。这种方法通过估计抽样概率的倒数加权观察成员的贡献来修改全数据加权最小二乘方程，估计抽样概率取决于审查状态和其他主题特征中的事件类型。建立了所提出的估计量的渐近性质。在模拟中检查了所提出的估计器的有限样本性能及其在不同两相采样设计下的相对效率。这些方法用于分析来自 RV144 疫苗功效试验的数据，以研究免疫反应生物标志物与 HIV-1 感染累积发生率的关联。在模拟中检查了所提出的估计器的有限样本性能及其在不同两相采样设计下的相对效率。这些方法用于分析来自 RV144 疫苗功效试验的数据，以研究免疫反应生物标志物与 HIV-1 感染累积发生率的关联。在模拟中检查了所提出的估计器的有限样本性能及其在不同两相采样设计下的相对效率。这些方法用于分析来自 RV144 疫苗功效试验的数据，以研究免疫反应生物标志物与 HIV-1 感染累积发生率的关联。