Simple nonparametric estimators of the bivariate survival function under random left truncation and right censoring

被引:0
作者
Pao-sheng Shen
机构
[1] Tunghai University,Department of Statistics
来源
Computational Statistics | 2014年 / 29卷
关键词
Bivariate survival function; Truncation; Censoring;
D O I
暂无
中图分类号
学科分类号
摘要
We consider estimating the bivariate survival function when both components are subject to random left truncation and right censoring. Using the idea of Sankran and Antony (Sankhyã 69:425–447, 2007) in the competing risks set up, we propose two types of estimators as generalizations of the Dabrowska (Ann Stat 18:1475–1489, 1988) and Campbell and Földes (Nonparametric statistical inference, North-Holland, Amsterdam 1982) estimators. The proposed estimators are easy to implement and do not require iteration. The consistency of the proposed estimators is established. Simulation results indicate that the proposed estimators can outperform the estimators of Shen and Yan (J Stat Plan Inference 138:4041–4054, 2008), which require complex iteration.
引用
收藏
页码:641 / 659
页数:18
相关论文
共 23 条
[1]  
Dabrowska DM(1988)Kaplan–Meier estimate on the plane Ann Stat 18 1475-1489
[2]  
Dabrowska DM(1989)Kaplan–Meier estimate on the plane: weak convergence. LIL, and the bootstrap J Multivar Anal 29 308-325
[3]  
Gijbels I(1998)Covariance function of a bivariate distribution function estimator for left truncated and right censored data Stat Sinica 8 1219-1232
[4]  
Gürler Ü(1995)Inefficient estimators of the bivariate survival function for three models. Annales de l’Institut Henri Poincare. Section B Prob et stat 31 547-597
[5]  
Gill RD(1996)Bootstrap methods for truncated data and censored data Stat Sinica 6 509-530
[6]  
van der Laan MJ(1996)Bivariate estimation with right truncated data J Am Stat Assoc 91 1152-1165
[7]  
Wellner JA(1997)Bivariate distribution and hazard functions when a component is randomly truncated J Multivar Anal 60 20-47
[8]  
Gross ST(1996)Nonparametric estimation of the bivariate survival function with truncated data J Multivar Anal 58 107-131
[9]  
Lai TL(1996)Efficient estimation in the bivariate censoring model and repairing NPMLE Ann Stat 24 596-627
[10]  
Gürler Ü(1997)Nonparametric estimators of the bivariate survival function under random censoring Stat Nederlandica 51 178-200