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When analyzing time-to-event data, it often happens that a certain fraction of the data corresponds to subjects who will never experience the event of interest. These event times are considered as infinite and the subjects are said to be cured. Survival models that take this feature into account are commonly referred to as cure models. This article reviews the literature on cure regression models in which the event time (response) is subject to random right censoring and has a positive probability to be equal to infinity.
Amico et al. (Thu,) studied this question.