论文标题

在离散设置下对真实零假设的比例进行了修改的估计器,并通过自适应Benjamini-Hochberg程序证明了FDR控制

Modified estimator for the proportion of true null hypotheses under discrete setup with proven FDR control by the adaptive Benjamini-Hochberg procedure

论文作者

Biswas, Aniket, Chattopadhyay, Gaurangadeb

论文摘要

讨论了有关最近提出的关于在离散设置下的真实零假设($π_0$)比例的最近提出的估计器的关键问题。在同一设置下引入了$π_0$的估计器。估计器可能被视为对$π_0$的非常流行的估计器的修改,最初是根据连续测试统计的假设提出的。结果表明,自适应Benjamini-Hochberg程序仍然保守,新的估计器以$π_0$被插入。

Some crucial issues about a recently proposed estimator for the proportion of true null hypotheses ($π_0$) under discrete setup are discussed. An estimator for $π_0$ is introduced under the same setup. The estimator may be seen as a modification of a very popular estimator for $π_0$, originally proposed under the assumption of continuous test statistics. It is shown that adaptive Benjamini-Hochberg procedure remains conservative with the new estimator for $π_0$ being plugged in.

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