Sun Liuquan, Zhang Zhigang
Professor, Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P.R. China (E-mail:
J Am Stat Assoc. 2009 Jun 1;104(486):803-815. doi: 10.1198/jasa.2009.0130.
The mean residual life function is an attractive alternative to the survival function or the hazard function of a survival time in practice. It provides the remaining life expectancy of a subject surviving up to time t. In this study, we propose a class of transformed mean residual life models for fitting survival data under right censoring. To estimate the model parameters, we make use of the inverse probability of censoring weighting approach and develop a system of estimating equations. Efficiency and robustness of the estimators are also studied. Both asymptotic and finite sample properties of the proposed estimators are established and the approach is applied to two real-life datasets collected from clinical trials.
在实际应用中，平均剩余寿命函数是生存函数或生存时间的风险函数的一个有吸引力的替代方案。它提供了活到时间t的个体的剩余预期寿命。在本研究中，我们提出了一类变换后的平均剩余寿命模型，用于拟合右删失下的生存数据。为了估计模型参数，我们利用删失加权逆概率方法并建立了一个估计方程系统。还研究了估计量的效率和稳健性。建立了所提出估计量的渐近和有限样本性质，并将该方法应用于从临床试验中收集的两个实际数据集。
