A nonparametric test for comparing two samples where all observations are either left- or right-censored.

The situation is considered where the status of the individuals under study is assessed only once during their lifetime, and as a consequence the observed time to an event of interest is either left- or right-censored. Nonparametric estimation of the time to event distribution is reviewed and a nonparametric two-sample test is proposed. The performance of the test is illustrated by simulations and by a numerical example.