We propose a new estimator of the marginal (overall) survival function of failure times that is in the class of survival function estimators proposed by Robins (Proceedings of the American Statistical Association--Biopharmaceutical Section, 1993, p. 24). These estimators are appropriate when, in...

A novel representation for the nonparametric maximum likelihood estimator (NPMLE) of the failure time distributions in the competing risks problem with right-censored data is derived. This representation shows that the NPMLE can be calculated by a Kaplan-Meier survival function for each failure...

A general multistage model is considered where all individuals start at a given initial stage at time zero. Based on randomly right-censored data, we provide both individual-specific and overall estimates of the probabilities of entry to a future stage. We also provide normalized estimators of...

We consider estimation of integrated transition hazard and stage occupation probabilities using right censored i.i.d. data that come from a general multistage model which is not Markov. We show that the Nelson-Aalen estimator for the integrated transition hazard of a Markov process consistently...