Nonparametric estimation of the bivariate survival function for one modified form of doubly censored data

In this article, we consider estimating the bivariate distribution function when both components are subject to double censoring. We propose three types of estimators, the first two are generalizations of the Dabrowska and Campbell and Foldes estimators, and the third is an inverse-probability-weighted estimator. The consistency of the proposed estimators is established. A simulation study is conducted to investigate the performance of the proposed estimators.