Two-sample nonparametric test for proportional reversed hazards

In the last few decades, several works have been undertaken in context of proportional reversed hazard rates (PRHR) but any specific statistical methodology for PRHR hypothesis is absent literature. This paper proposes a two-sample nonparametric test based on two independent samples to verify assumption. Based consistent U-statistic three methodologies developed exploiting U-statistics theory, jackknife empirical likelihood and adjusted method. A simulation study has performed assess merit proposed procedure. Finally, procedure applied data set brain injury-related biomarkers related Duchenne muscular dystrophy.