  We analyze nonparametric estimators for the distribution function of the
incubation time in the singly and doubly interval censoring model. The
classical approach is to use parametric families like Weibull, log-normal or
gamma distributions in the estimation procedure. We propose nonparametric
estimates which stay closer to the data than the classical parametric methods.
We also give explicit limit distributions for discrete versions of the models
and apply this to compute confidence intervals. The methods complement the
analysis of the continuous model. R scripts for computation of the estimates
are provided on https://github.com/pietg/incubationtime.
