  We study the comparison problem of distribution equality between two random
samples under a right censoring scheme. To address this problem, we design a
series of tests based on energy distance and kernel mean embeddings. We
calibrate our tests using permutation methods and prove that they are
consistent against all fixed continuous alternatives. To evaluate our proposed
tests, we simulate survival curves from previous clinical trials. Additionally,
we provide practitioners with a set of recommendations on how to select
parameters/distances for the delay effect problem. Based on the method for
parameter tunning that we propose, we show that our tests demonstrate a
considerable gain of statistical power against classical survival tests.
