Zhang Xu, Zhang Mei-Jie, Fine Jason
Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USA,
J Stat Plan Inference. 2009 Sep 1;139(9):3329-3339. doi: 10.1016/j.jspi.2009.03.007.
Failure times are often right-censored and left-truncated. In this paper we give a mass redistribution algorithm for right-censored and/or left-truncated failure time data. We show that this algorithm yields the Kaplan-Meier estimator of the survival probability. One application of this algorithm in modeling the subdistribution hazard for competing risks data is studied. We give a product-limit estimator of the cumulative incidence function via modeling the subdistribution hazard. We show by induction that this product-limit estimator is identical to the left-truncated version of Aalen-Johansen (1978) estimator for the cumulative incidence function.
失效时间常常是右删失和左截断的。在本文中,我们给出了一种针对右删失和/或左截断失效时间数据的质量再分配算法。我们证明了该算法可得出生存概率的Kaplan-Meier估计量。研究了此算法在竞争风险数据的子分布风险建模中的一个应用。我们通过对子分布风险进行建模给出了累积发病率函数的乘积限估计量。我们通过归纳证明,该乘积限估计量与累积发病率函数的Aalen-Johansen(1978)估计量的左截断版本相同。