  A short introduction to survival analysis and censored data is included in
this paper. A thorough literature review in the field of cure models has been
done. An overview on the most important and recent approaches on parametric,
semiparametric and nonparametric mixture cure models is also included. The main
nonparametric and semiparametric approaches were applied to a real time dataset
of COVID-19 patients from the first weeks of the epidemic in Galicia (NW
Spain). The aim is to model the elapsed time from diagnosis to hospital
admission. The main conclusions, as well as the limitations of both the cure
models and the dataset, are presented, illustrating the usefulness of cure
models in this kind of studies, where the influence of age and sex on the time
to hospital admission is shown.
