Interval censoring refers to a situation in which, T, the time to occurrence of an event ofinterest is only known to lie in an interval [L,R]. In some cases, the variable T also su ersleft-truncation. Based on an integral equation, we propose a self-consistent estimator (SCE)of survival function of T. It is shown that the NPMLE is a solution of the integral equation.Under some conditions, we show the consistency of the SCE.
