Identifiability of cure models revisited

We obtained results on identifiability of mixture, mixture proportional hazards and bounded cumulative hazards (or Yakovlev) models of survival in the presence of cured (or non-susceptible) subpopulation. These results specify conditions under which model parameters can, or cannot, be estimated from the observed potentially censored survival times and thus may guide statistical modeling. The results are formulated for larger classes of models and in greater generality than previously and correct some misconceptions that exist in statistical literature on the subject. All results are supplied with rigorous self-contained proofs.