For testing treatment effect with time to event data, combinations of several tests are often desired when the hazard functions of the two groups are nonproportional. Yang and Prentice [2005. Semiparametric analysis of short term and long term hazard ratios with two sample survival data....

A central limit theorem is given for functionals of the Kaplan--Meier estimator when the censoring distributions are possibly different or discontinuous. In the i.i.d. case only one easily interpretable and simple integrability condition is needed. This condition reduces to the usual condition...