The conservativeness of the Simes test under dependence is a key issue in developing many other new test procedures and new error rate criteria. In this paper, we consider several $p$-variable models and investigate the validity and failure conditions of the Simes test under these models. The main results have some impact on testing concerns and can give us some insight on the interaction between validity of Simes test and dependence structure.

中文翻译：

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关于 Samuel 的 p 值模型和依赖下的 Simes 检验

依赖下的 Simes 测试的保守性是开发许多其他新测试程序和新错误率标准的关键问题。在本文中，我们考虑了几个$p$-变量模型，并在这些模型下研究 Simes 测试的有效性和失败条件。主要结果对测试关注点有一些影响，可以让我们深入了解 Simes 测试的有效性和依赖结构之间的相互作用。