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 left truncation in two different ways corresponding to two different realistic conditions.
- Cumulative hazard function
- Monotone hazard
- Nonparametric maximum likelihood
- Vague convergence