Kaplan-Meier estimator and hazard estimator for censored negatively superadditive dependent data

In this paper, we investigate the strong convergence properties for the Kaplan-Meier estimator and hazard estimator based on censored negatively superadditive dependent data. Under some mild conditions, the strong convergence rate of the Kaplan-Meier estimator and hazard estimator is established. In addition, the strong representation of the Kaplan-Meier estimator and hazard estimator is also obtained with the remainder of order O(n(-1/2) log(1/2) n) a.s. Our results established in the paper generalize the corresponding ones for independent random variables and negatively associated random variables.