Estimation of the Bivariate Cause-Specific Distribution Function with Left-Truncated Competing Risks Data

摘要

In this article, we consider estimating the bivariate cause-specific distribution function when both components are subject to left truncation and right censoring. Based on the estimators proposed by Shen and Yan (200817. Shen , P.-S. , Yan , Y.-F. ( 2008 ). Nonparametric estimation of the bivariate survival function . Journal of Statistics Planning and Inference 139 : 4041 - 4054 . [CrossRef], [Web of Science ®]View all references), we propose two types of estimators as the extension of Sankaran et al. (200616. Sankaran , P. G. , Lawless , J. F. , Abraham , B. , Antony , A. A. ( 2006 ). Estimation of distribution function in bivariate competing risk models . Biometriics Journal 48 : 399 - 410 . [CrossRef], [PubMed], [Web of Science ®]View all references). The asymptotical properties of the proposed estimators are established. A simulation study is conducted to investigate the performance of the proposed estimators.