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

Estimation of the incubation time distribution in the singly and doubly interval censored model