Abstract
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 Our results established in the paper generalize the corresponding ones for independent random variables and negatively associated random variables.
Acknowledgements
The authors are most grateful to the Editor in Chief, Associate Editor and anonymous referees for careful reading of the manuscript and valuable suggestions which helped in improving an earlier version of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.