We consider the case where a terminal event censors a non-terminal event, but not vice versa. When the events are dependent, estimation of the distribution of the non-terminal event is a competing risks problem, while estimation of the distribution of the terminal event is not. The dependence...

The nonparametric monotone MLE is used to overcome the severe under-estimation of survival functions by the NPMLE for left truncated data when a monotone hazard assumption is appropriate. In this paper, we establish the consistency of the monotone MLE for interval-censored data with or without...