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- Title
Simple nonparametric estimators of the bivariate survival function under random left truncation and right censoring.
- Authors
Shen, Pao-sheng
- Abstract
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, ) in the competing risks set up, we propose two types of estimators as generalizations of the Dabrowska (Ann Stat 18:1475-1489, ) and Campbell and Földes (Nonparametric statistical inference, North-Holland, Amsterdam ) 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, ), which require complex iteration.
- Subjects
RIGHT censoring (Statistics); STATISTICAL reliability; ITERATIVE methods (Mathematics); SURVIVAL analysis (Biometry); NONPARAMETRIC estimation; GENERALIZATION
- Publication
Computational Statistics, 2014, Vol 29, Issue 3/4, p641
- ISSN
0943-4062
- Publication type
Article
- DOI
10.1007/s00180-013-0455-0