论文标题
虚假发现率的几个结果的基本证明
Elementary proofs of several results on false discovery rate
论文作者
论文摘要
我们在文献中收集了关于本杰米尼 - 霍赫伯格(BH)的虚假发现率(BH)程序的四个结果的独立基本证据,以独立或呈阳性回归依赖性的p值,本杰米尼 - 耶克蒂(Benjamini-Yekutieli)校正是任意依赖的p估计的benjamini-yekutieli校正,以及用于任意依赖性的E-BH程序。作为推论,上述证据也导致了一些模仿者和霍梅尔的一些不平等。
We collect self-contained elementary proofs of four results in the literature on the false discovery rate of the Benjamini-Hochberg (BH) procedure for independent or positive-regression dependent p-values, the Benjamini-Yekutieli correction for arbitrarily dependent p-values, and the e-BH procedure for arbitrarily dependent e-values. As a corollary, the above proofs also lead to some inequalities of Simes and Hommel.