Linear Ordered Rank Tests Which are Asymptotically Efficient for the Two-Sample Problem
双样本问题中渐近有效的线性有序秩检验
Summary In this paper the nonparametric two-sample problem is considered and tests are proposed for the hypothesis of identity of the two distribution functions. These tests are based on statistics which are linear combinations of ranks of the order statistics of one of the samples, in the two-sample rank order. It is seen that many existing statistics, proposed mainly on heuristic grounds, are members of this class. The asymptotic distribution of such statistics is…