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Kolmogorov-Smirnov and Cramér-von Mises tests for the k-sample problem with left-truncated and right-censored data
Adrián Lago1, Juan Carlos Pardo-Fernández2, Jacobo de Uña-Álvarez2
1SiDOR Research Group, Department of Statistics and Operations Research, Universidade deVigo, Campus Universitario Lagoas-Marcosende, 36310, Vigo, Spain. adrian.lago@uvigo.gal.
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.
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