Gorfine Malka, Zucker David M, Hsu Li
Faculty of Industrial Engineering and Management, Technion City, Haifa 32000, Israel, E-mail:
Ann Stat. 2009;37(3):1489-1517. doi: 10.1901/jaba.2009.37-1489.
In this work we deal with correlated failure time (age at onset) data arising from population-based case-control studies, where case and control probands are selected by population-based sampling and an array of risk factor measures is collected for both cases and controls and their relatives. Parameters of interest are effects of risk factors on the failure time hazard function and within-family dependencies among failure times after adjusting for the risk factors. Due to the retrospective sampling scheme, large sample theory for existing methods has not been established. We develop a novel technique for estimating the parameters of interest under a general semiparametric shared frailty model. We also present a simple, easily computed, and non-iterative nonparametric estimator for the cumulative baseline hazard function. We provide rigorous large sample theory for the proposed method. We also present simulation results and a real data example for illustrating the utility of the proposed method.
在这项工作中，我们处理基于人群的病例对照研究中产生的相关失效时间（发病年龄）数据，其中病例和对照先证者通过基于人群的抽样选取，并且为病例、对照及其亲属收集了一系列风险因素测量值。感兴趣的参数是风险因素对失效时间危险函数的影响以及在调整风险因素后失效时间之间的家庭内依赖性。由于回顾性抽样方案，现有方法的大样本理论尚未建立。我们开发了一种新颖的技术，用于在一般半参数共享脆弱模型下估计感兴趣的参数。我们还提出了一种简单、易于计算且非迭代的累积基线危险函数非参数估计器。我们为所提出的方法提供了严格的大样本理论。我们还给出了模拟结果和一个实际数据示例，以说明所提出方法的实用性。
