中文摘要：

在医药科学和许多另外的地估计 quantile 剩余一生兴趣大。在幸存分析， Kaplan-Meier (千米；公里) 评估者广泛地被用来估计幸存分发。然而，千米；公里评估者不是连续的，是著名的，因此，计算 quantile 不能总是被用来剩余一生。在这份报纸，作者建议弄平方法给 quantile 剩余一生的一个评估者的一个核。由使用现代实验过程技术，一致性和建议评估者的 asymptotic 规度干净地被提供。作者也介绍评估者的实验小样品表演。缺乏被介绍把建议评估者的表演与 quantile residaul 一生的天真的 unsmoothed 评估者作比较。进一步的模拟研究显示建议评估者表现很好。

英文摘要：

It is of great interest to estimate quantile residual lifetime in medical science and many other fields. In survival analysis, Kaplan-Meier（K-M） estimator has been widely used to estimate the survival distribution. However, it is well-known that the K-M estimator is not continuous, thus it can not always be used to calculate quantile residual lifetime. In this paper, the authors propose a kernel smoothing method to give an estimator of quantile residual lifetime. By using modern empirical process techniques, the consistency and the asymptotic normality of the proposed estimator are provided neatly.The authors also present the empirical small sample performances of the estimator. Deficiency is introduced to compare the performance of the proposed estimator with the naive unsmoothed estimator of the quantile residaul lifetime. Further simulation studies indicate that the proposed estimator performs very well.