He Yifan, Zhou Yong
School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, 200433, China.
Key Laboratory of Advanced Theory and Application in Statistics and Data Science, Ministry of Education and Academy of Statistics and Interdisciplinary Sciences and School of Statistics, East China Normal University, Shanghai, 200062, China.
Lifetime Data Anal. 2020 Oct;26(4):761-788. doi: 10.1007/s10985-020-09498-x. Epub 2020 Apr 16.
Restricted mean survival time is often of direct interest in epidemiologic studies involving censored survival time. In this article, we propose the nonparametric and semiparametric estimators of the mean restricted to the preassigned interval with censored length-biased data. Based on the peculiarity of length-biased data, the auxiliary information that truncation time and residual time have the same distribution is taken into account for improving estimation efficiency. For two-sample comparison, we construct two tests which are easy to implement. We also derive the asymptotic properties for the proposed estimators and test statistics. In simulation studies, some simulations are conducted to compare the performances of several approaches to estimate restricted mean and to assess the test statistics. In addition, our methods are applied to a real data example and some interesting results are presented.
受限平均生存时间在涉及删失生存时间的流行病学研究中常常是直接关注的对象。在本文中，我们针对具有删失长度偏倚数据的情况，提出了限制在预先指定区间内的均值的非参数和半参数估计量。基于长度偏倚数据的特性，考虑了截断时间和剩余时间具有相同分布这一辅助信息，以提高估计效率。对于两样本比较，我们构建了两个易于实施的检验。我们还推导了所提出估计量和检验统计量的渐近性质。在模拟研究中，进行了一些模拟以比较几种估计受限均值方法的性能并评估检验统计量。此外，我们的方法应用于一个实际数据示例并呈现了一些有趣的结果。
