This paper develops empirical likelihood based simultaneous confidence bands for differences and ratios of two distribution functions from independent samples of right-censored survival data. The proposed confidence bands provide a flexible way of comparing treatments in biomedical settings, and bring empirical likelihood methods to bear on important target functions for which only Wald-type confidence bands have been available in the literature. The approach is illustrated with a real data example.
McKeague, Ian W. and Zhao, Yichuan (2005) "Comparing Distribution Functions via Empirical Likelihood," The International Journal of Biostatistics: Vol. 1 : Iss. 1, Article 5.