Nonparametric tests for ordered quantiles
In this paper, nonparametric procedures for testing equality of quantiles against an ordered alternative are proposed. These testing procedures are based on two different estimators of the quantile function available in literature. Limiting distributions of the test statistics are derived. Simulations have been carried out to check the performance of the tests.
Soni, Pooja; Dewan, Isha; and Jain, Kanchan, "Nonparametric tests for ordered quantiles" (2019). Journal Articles. 803.