Empirical likelihood ratio test for equality of k medians in censored data

Most of the existing tests for equality of k medians actually assume that under the null hypothesis, the underlying k survival functions are identical. We propose a test which is based on empirical profile likelihood for median in censored data. This test does not require such an assumption. It is shown that under the standard censoring mechanism, the asymptotic distribution of the test statistic is chi-squared with k - 1 degrees of freedom, when the null hypothesis holds.