Kolmogorov–Smirnov and Cramér–von Mises tests for the k-sample problem with left-truncated and right-censored data

Abstract k -Sample versions of the Kolmogorov–Smirnov and Cramér–von Mises tests are proposed for data subject to left truncation and right censoring. Their asymptotic behaviour is studied and a bootstrap resampling plan is proposed to approximate the null distribution of the new tests. The performance of the tests with finite sample sizes is investigated in a simulation study, where the classical log-rank test is also considered. An illustration with a real dataset regarding unemployment times is discussed.