Large sample tests for equality of medians under unequal right-censoring

Two tests are proposed for testing equality of the medians of two distributions on the basis of right cansored data. The tests do not require any assumption on the scales or the shapes of the distributions and can be used without assuming equal censorship in the two samples. Under the sequence of translation alternatives the proposed tests are equally efficient when the distributions belong to the same location and scale family. Some indications are provided about the significance levels of the tests based on simulation results.