摘要
This article proposes a simple nonparametric estimator of quantile residual lifetime function under left-truncated and right-censored data. The asymptotic consistency and normality of this estimator are proved and the variance expression is calculated. Two bootstrap procedures are employed in the simulation study,where the latter bootstrap from Zeng and Lin(2008) is 4000 times faster than the former naive one, and the numerical results in both methods show that our estimating approach works well. A real data example is used to illustrate its application.
This article proposes a simple nonparametric estimator of quantile residual lifetime function under left-truncated and right-censored data. The asymptotic consistency and normality of this estimator are proved and the variance expression is calculated. Two bootstrap procedures are employed in the simulation study,where the latter bootstrap from Zeng and Lin（2008） is 4000 times faster than the former naive one, and the numerical results in both methods show that our estimating approach works well. A real data example is used to illustrate its application.
基金
supported by National Natural Science Foundation of China(Grant No.71271128)
the State Key Program of National Natural Science Foundation of China(Grant No.71331006)
NCMIS and Shanghai University of Finance and Economics through Project 211 Phase IV
Shanghai Firstclass Discipline A,Outstanding Ph D Dissertation Cultivation Funds of Shanghai University of Finance and Economics
Graduate Education Innovation Funds of Shanghai University of Finance and Economics(Grant No.CXJJ-2011-438)
