B0592
Title: Informative censoring models
Authors: Gerhard Dikta - FH-Aachen (Germany) [presenting]
Abstract: Based on an identifying Volterra-type integral equation for a lifetime distribution $F$ and randomly right censored observations, we solve the corresponding estimating equation by an explicit and implicit Euler scheme. Depending on the assumptions we make about the conditional expectation of the censoring indicator given the observation time, we derive the well-known Kaplan-Meier and other established estimators of $F$ under the explicit Euler scheme. Moreover, under the implicit Euler scheme, we obtain new pre-smoothed and semi-parametric estimators of $F$. Some properties of the new semi-parametric estimator and a real data application are discussed.