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

Abstract

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 (2008), we propose two types of estimators as the extension of Sankaran et al. (2006). The asymptotical properties of the proposed estimators are established. A simulation study is conducted to investigate the performance of the proposed estimators.

Keywords:

• Cause-specific distribution
• Competing risk models
• Random truncation

Mathematics Subject Classification:

• Primary 62N01
• Secondary 62N02