Zhang Zhigang, Zhao Xingqiu, Sun Liuquan
Department of Epidemiology and Biostatistics, Memorial Sloan-Kettering Cancer Center, New York, NY 10065, USA.
Lifetime Data Anal. 2010 Jul;16(3):385-408. doi: 10.1007/s10985-010-9152-2. Epub 2010 Jan 26.
The mean residual life (MRL) measures the remaining life expectancy and is useful in actuarial studies, biological experiments and clinical trials. To assess the covariate effect, an additive MRL regression model has been proposed in the literature. In this paper, we focus on the topic of model checking. Specifically, we develop two goodness-of-fit tests to test the additive MRL model assumption. We explore the large sample properties of the test statistics and show that both of them are based on asymptotic Gaussian processes so that resampling approaches can be applied to find the rejection regions. Simulation studies indicate that our methods work reasonably well for sample sizes ranging from 50 to 200. Two empirical data sets are analyzed to illustrate the approaches.
平均剩余寿命（MRL）衡量剩余预期寿命，在精算研究、生物学实验和临床试验中很有用。为了评估协变量效应，文献中提出了一种加法MRL回归模型。在本文中，我们关注模型检验的主题。具体而言，我们开发了两个拟合优度检验来检验加法MRL模型假设。我们探索了检验统计量的大样本性质，并表明它们都基于渐近高斯过程，因此可以应用重采样方法来找到拒绝域。模拟研究表明，我们的方法对于样本量从50到200的情况效果相当不错。分析了两个实证数据集来说明这些方法。
