This paper discusses the invited paper by López-Cheda, Peng and Jácome on nonparametric mixture cure models with covariates. An alternative estimation procedure is proposed in this context. The situation when the two covariate vectors (the one in the incidence and in the latency parts) share some, but not all, their covariates is also considered. Some technical aspects in the assumptions, results and proofs of the invited paper are also discussed. Comments on the simulations and the real-data application are included. Finally, possible interesting topics for further research in this field are briefly discussed.
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