Nonparametric Test for One-sided Alternatives for the Right Censored Data

In this research, we consider to propose a nonparametric test for one-sided alternatives using the several quantile statistics with combining them into a statistic by summing the standardized quantile statistics for the right censored data in the two-sample problem. For this, we assume the location translation model between two distributions. Then we derive the limiting distribution for the proposed test statistics with the large sample approximation theory using the so-called Bahadur-type representations for the empirical distribution and its sample quantiles. Then we illustrate our procedure with an example and finally discuss some interesting features of our test as concluding remarks.