Modified self-consistent estimators of the survival function with twice censored data

Using a modified self-consistent (MSC) approach, Shen (2011) proposed a MSC estimator S ^ n of the survival function for twice censored data. In this paper, based on the modified likelihood function, an alternative MSC estimator Sn is proposed. The asymptotic properties of Sn are derived. Simulation results indicate that the estimator Sn can outperform S ^ n when left-censoring is heavy.