Pseudo-Observations and Super Learner for the Estimation of the Restricted Mean Survival Time
Ariane Cwiling  1@  , Vittorio Perduca  1@  , Olivier Bouaziz  1@  
1 : MAP5
Institut National des Sciences Mathématiques et de leurs Interactions, Centre National de la Recherche Scientifique, Université Paris Cité

It can be relevant for clinicians to have access to a prediction of the time to an event such as a relapse, a cancer occurrence, or the death of a patient. When predicting the time to event based on right-censored data, it is natural to rather consider a restricted time because of tail estimation issues. The prediction task is then equivalent to the estimation of the restricted mean survival time (RMST). To that aim, we propose a new flexible and easy to use regression model based on pseudo-observations and super learning. To prove the theoretical validity of this method, we present a new definition of the pseudo-observations.



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