In this article, we introduce three new nonparametric procedures for testing the equality of two lifetime distributions. The proposed testing processes are based on appropriately modified Wilcoxon‐type rank‐sum statistics. The exact null distribution of these statistics is studied and closed formulae for the corresponding exact probability of correct selection of the best population are derived for the class of Lehmann alternatives. A detailed numerical study is carried out to elucidate the performance of the proposed testing schemes. For illustration purposes, a real data application is presented in some detail.

中文翻译：

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选择最佳人群的Wilcoxon型秩和统计量：一些进步

在本文中，我们介绍了三种新的非参数过程来测试两个生命周期分布的相等性。建议的测试过程基于适当修改的Wilcoxon型秩和统计量。研究了这些统计数据的精确零分布，并针对雷曼替代方案类别，得出了正确选择最佳总体的相应精确概率的封闭公式。进行了详细的数值研究，以阐明建议的测试方案的性能。为了说明的目的，真实的数据应用程序被详细介绍。