论文标题
平滑的分位数回归，以审查剩余寿命
Smoothed quantile regression for censored residual life
论文作者
论文摘要
我们考虑对残余寿命的分位数进行回归建模，在特定时间剩余寿命。我们提出了现有的非平滑估计方程方法的平滑感应版本，以估计回归参数。提出的估计方程在回归参数中是平滑的，因此可以通过标准数值算法轻松获得解决方案。此外，提出的估计方程中的平滑度使人们能够通过有效的重新采样方法获得稳健的夹心型协方差估计器。为了处理对右审查的数据，将重量的反向概率用作权重。建立了所提出的估计量的一致性和渐近正态性。进行了广泛的仿真研究，以验证所提出的估计器在各种有限样品设置中的性能。我们将提出的方法应用于评估牙科修复的寿命的牙科研究数据。
We consider a regression modeling of the quantiles of residual life, remaining lifetime at a specific time. We propose a smoothed induced version of the existing non-smooth estimating equations approaches for estimating regression parameters. The proposed estimating equations are smooth in regression parameters, so solutions can be readily obtained via standard numerical algorithms. Moreover, the smoothness in the proposed estimating equations enables one to obtain a robust sandwich-type covariance estimator of regression estimators aided by an efficient resampling method. To handle data subject to right censoring, the inverse probability of censoring weight are used as weights. The consistency and asymptotic normality of the proposed estimator are established. Extensive simulation studies are conducted to validate the proposed estimator's performance in various finite samples settings. We apply the proposed method to dental study data evaluating the longevity of dental restorations.
