Estimation of the bivariate cause-specific distribution function with doubly censored competing risks data

In this article, we consider estimating the bivariate cause-specific distribution function when both components are subject to double censoring. We propose two types of estimators as generalizations of the Dabrowska and Campbell and Földes estimators. The asymptotical properties of the proposed estimators are established. A simulation study is conducted to investigate the performance of the proposed estimators.