论文标题
一类基于最大优先级和超级统计的šidák型测试
A class of Šidák-type tests based on maximal precedence and exceedance statistic
论文作者
论文摘要
本文提出了一类非参数两样本测试。作为对原始šidáks测试的概括，提出的测试统计量被开发为最大优先级和最大超出统计的总和。与Šidák-type优先级测试和最大优先级测试不同，该提议的测试适用于双面替代方案，同时不受任何参数假设。测试统计量的精确分布均在零下以及Lehmann替代方案下获得。已经进行了功率值比较，该比较表明了拟议的测试的能力，这是基于优先级统计的许多现有测试的有用替代方案。提供现实生活示例以说明拟议的测试的应用。
A class of nonparametric two-sample tests has been proposed in this article. As a generalization of the original Šidáks' test, the proposed test statistic is developed as the sum of the maximal precedence and maximal exceedance statistics. Unlike the Šidák-type precedence-exceedance test and the maximal precedence test, the proposed test is suitable for a two-sided alternative while being free from any parametric assumption. Exact distribution of the test statistic is obtained under the null as well as under the Lehmann alternative. Power value comparison has been carried out that shows the competency of the proposed test as a useful alternative to a number of existing tests based on precedence-exceedance statistics. Real-life example is provided to illustrate the application of the proposed test.
