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Multiple hypothesis testing has been widely applied to problems dealing with high-dimensional data, e.g., selecting significant variables and controlling the selection error rate. The most prevailing measure of error rate used in the…

统计方法学 · 统计学 2022-06-07 Xiaoya Sun , Yan Fu

In the online false discovery rate (FDR) problem, one observes a possibly infinite sequence of $p$-values $P_1,P_2,\dots$, each testing a different null hypothesis, and an algorithm must pick a sequence of rejection thresholds…

统计方法学 · 统计学 2019-07-12 Aaditya Ramdas , Tijana Zrnic , Martin Wainwright , Michael Jordan

Many approaches for multiple testing begin with the assumption that all tests in a given study should be combined into a global false-discovery-rate analysis. But this may be inappropriate for many of today's large-scale screening problems,…

统计方法学 · 统计学 2014-06-10 James G. Scott , Ryan C. Kelly , Matthew A. Smith , Pengcheng Zhou , Robert E. Kass

Multiple hypothesis testing, a situation when we wish to consider many hypotheses, is a core problem in statistical inference that arises in almost every scientific field. In this setting, controlling the false discovery rate (FDR), which…

统计理论 · 数学 2019-03-19 Shiyun Chen , Shiva Kasiviswanathan

The false discovery proportion (FDP) is a convenient way to account for false positives when a large number $m$ of tests are performed simultaneously. Romano and Wolf [Ann. Statist. 35 (2007) 1378-1408] have proposed a general principle…

统计理论 · 数学 2015-06-08 Sylvain Delattre , Etienne Roquain

We propose the use of a new false discovery rate (FDR) controlling procedure as a model selection penalized method, and compare its performance to that of other penalized methods over a wide range of realistic settings: nonorthogonal design…

应用统计 · 统计学 2009-05-19 Yoav Benjamini , Yulia Gavrilov

After the seminal Benjamini-Hochberg (BH) procedure for controlling the false discovery rate (FDR) was proposed, dozens of papers have attempted to improve its power by adapting to the unknown proportion of nulls. We observe that most null…

统计方法学 · 统计学 2026-03-24 Nikolaos Ignatiadis , Ruodu Wang , Aaditya Ramdas

To find interesting items in genome-wide association studies or next generation sequencing data, a crucial point is to design powerful false discovery rate (FDR) controlling procedures that suitably combine discrete tests (typically…

统计理论 · 数学 2017-09-18 Sebastian Döhler , Guillermo Durand , Etienne Roquain

Modern biomedical research frequently involves testing multiple related hypotheses, while maintaining control over a suitable error rate. In many applications the false discovery rate (FDR), which is the expected proportion of false…

统计方法学 · 统计学 2018-09-27 David S. Robertson , James M. S. Wason

Multiple testing with discrete p-values routinely arises in various scientific endeavors. However, procedures, including the false discovery rate (FDR) controlling Benjamini-Hochberg (BH) procedure, often used in such settings, being…

统计方法学 · 统计学 2019-06-06 Xiongzhi Chen , Sanat K. Sarkar

In the context of multiple hypotheses testing, the proportion $\pi_0$ of true null hypotheses in the pool of hypotheses to test often plays a crucial role, although it is generally unknown a priori. A testing procedure using an implicit or…

统计理论 · 数学 2009-02-17 Gilles Blanchard , Etienne Roquain

As datasets grow richer, an important challenge is to leverage the full features in the data to maximize the number of useful discoveries while controlling for false positives. We address this problem in the context of multiple hypotheses…

统计方法学 · 统计学 2017-11-21 Fei Xia , Martin J. Zhang , James Zou , David Tse

We investigate the performance of a family of multiple comparison procedures for strong control of the False Discovery Rate ($\mathsf{FDR}$). The $\mathsf{FDR}$ is the expected False Discovery Proportion ($\mathsf{FDP}$), that is, the…

统计理论 · 数学 2008-11-21 Pierre Neuvial

This work studies decentralized novelty detection with global false discovery rate (FDR) control across heterogeneous composite null distributions, without sharing the raw data due to privacy and bandwidth considerations. We propose a…

机器学习 · 统计学 2026-05-12 Kyle Loh , Yu Xiang

Multiple comparison procedures that control a family-wise error rate or false discovery rate provide an achieved error rate as the adjusted p-value for each hypothesis tested. However, since such p-values are not probabilities that the null…

统计方法学 · 统计学 2013-09-03 David R. Bickel

Controlling the false discovery rate (FDR) in variable selection becomes challenging when predictors are correlated, as existing methods often exclude all members of correlated groups and consequently perform poorly for prediction. We…

统计方法学 · 统计学 2026-03-03 Sarah Organ , Toby Kenney , Hong Gu

Consider the online testing of a stream of hypotheses where a real--time decision must be made before the next data point arrives. The error rate is required to be controlled at {all} decision points. Conventional \emph{simultaneous testing…

统计方法学 · 统计学 2020-03-03 Bowen Gang , Wenguang Sun , Weinan Wang

This paper develops a general framework for controlling the false discovery rate (FDR) in multiple testing of Gaussian means against two-sided alternatives. The widely used Benjamini-Hochberg (BH) procedure provides exact FDR control under…

统计方法学 · 统计学 2025-11-26 Deepra Ghosh , Sanat K. Sarkar

Instance segmentation plays a pivotal role in medical image analysis by enabling precise localization and delineation of lesions, tumors, and anatomical structures. Although deep learning models such as Mask R-CNN and BlendMask have…

计算机视觉与模式识别 · 计算机科学 2025-04-29 Mengxia Dai , Wenqian Luo , Tianyang Li

In a multiple testing task, finding an appropriate estimator of the proportion $\pi_0$ of non-signal in the data to boost power of false discovery rate (FDR) controlling procedures is a long-standing research theme, sometimes referred to as…

统计方法学 · 统计学 2026-03-19 Gao Zijun , Roquain Etienne