Testing of equality of populations is one of the fundamental problems in Science. In this paper, we propose a new class of nonparametric tests for testing of location parameters of the distribution of populations against restricted alternatives. The asymptotic distribution of the proposed test statistics is derived. In order to attain maximum efficiency of the proposed tests, a general optimal choice of weights of the proposed class of test statistics is established. Pitman asymptotic relative efficiency and simulation study is carried out of the proposed class of tests. An illustrative example is provided to see the execution of the proposed test.

中文翻译：

---

使用权重的最佳选择针对位置受限的替代项测试位置参数

检验人口平等是科学的基本问题之一。在本文中，我们提出了一类新的非参数检验，用于针对受限选择检验人口分布的位置参数。推导了所提出的检验统计量的渐近分布。为了获得所建议的测试的最大效率，建立了所建议的测试统计类别的权重的一般最优选择。在拟议的测试类别中进行了Pitman渐近相对效率和仿真研究。提供了一个说明性示例，以查看建议的测试的执行。