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Differential privacy provides a rigorous framework for privacy-preserving data analysis. This paper proposes the first differentially private procedure for controlling the false discovery rate (FDR) in multiple hypothesis testing. Inspired…

Statistics Theory · Mathematics 2021-07-06 Cynthia Dwork , Weijie J. Su , Li Zhang

This paper revisits the following open question in simultaneous testing of multivariate normal means against two-sided alternatives: Can the method of Benjamini and Hochberg (BH, 1995) control the false discovery rate (FDR) without imposing…

Statistics Theory · Mathematics 2023-04-12 Sanat K. Sarkar

Since Benjamini and Hochberg introduced false discovery rate (FDR) in their seminal paper, this has become a very popular approach to the multiple comparisons problem. An increasingly popular topic within functional data analysis is local…

Methodology · Statistics 2019-08-16 Niels Lundtorp Olsen , Alessia Pini , Simone Vantini

In online multiple testing, the hypotheses arrive one by one, and at each time we must immediately reject or accept the current hypothesis solely based on the data and hypotheses observed so far. Many online procedures have been proposed,…

Methodology · Statistics 2026-02-27 Lasse Fischer , Ziyu Xu , Aaditya Ramdas

We consider a multi-object detection problem over a sensor network (SNET) with limited range multi-modal sensors. Limited range sensing environment arises in a sensing field prone to signal attenuation and path losses. The general problem…

Information Theory · Computer Science 2008-09-12 E. Ermis , V. Saligrama

Improved procedures, in terms of smaller missed discovery rates (MDR), for performing multiple hypotheses testing with weak and strong control of the family-wise error rate (FWER) or the false discovery rate (FDR) are developed and studied.…

Statistics Theory · Mathematics 2011-03-10 Edsel A. Peña , Joshua D. Habiger , Wensong Wu

False discovery rate (FDR) is a commonly used criterion in multiple testing and the Benjamini-Hochberg (BH) procedure is arguably the most popular approach with FDR guarantee. To improve power, the adaptive BH procedure has been proposed by…

Methodology · Statistics 2023-10-11 Zijun Gao

For multiple testing based on p-values with c\`{a}dl\`{a}g distribution functions, we propose an FDR procedure "BH+" with proven conservativeness. BH+ is at least as powerful as the BH procedure when they are applied to super-uniform…

Methodology · Statistics 2020-03-09 Xiongzhi Chen

Multiple tests are designed to test a whole collection of null hypotheses simultaneously. Their quality is often judged by the false discovery rate (FDR), i.e. the expectation of the quotient of the number of false rejections divided by the…

Statistics Theory · Mathematics 2015-11-24 Julia Benditkis , Philipp Heesen , Arnold Janssen

Modern data analysis frequently involves large-scale hypothesis testing, which naturally gives rise to the problem of maintaining control of a suitable type I error rate, such as the false discovery rate (FDR). In many biomedical and…

Methodology · Statistics 2023-07-25 David S. Robertson , James M. S. Wason , Aaditya Ramdas

The large bulk of work in multiple testing has focused on specifying procedures that control the false discovery rate (FDR), with relatively less attention being paid to the corresponding Type II error known as the false non-discovery rate…

Statistics Theory · Mathematics 2020-05-11 Max Rabinovich , Michael I. Jordan , Martin J. Wainwright

Motivated by recent findings in Li and Zhang (2025), which established an equivalence between certain p-value-based multiple testing procedures and the e-Benjamini-Hochberg procedure (Wang and Ramdas, 2022), we introduce a general framework…

Methodology · Statistics 2025-08-22 Guanxun Li , Xianyang Zhang

We provide the first differentially private algorithms for controlling the false discovery rate (FDR) in multiple hypothesis testing, with essentially no loss in power under certain conditions. Our general approach is to adapt a well-known…

Statistics Theory · Mathematics 2015-11-13 Cynthia Dwork , Weijie Su , Li Zhang

We investigate the properties of the Benjamini--Hochberg method for multiple testing and of a variant of Storey's generalization of it, extending and complementing the asymptotic and exact results available in the literature. Results are…

Statistics Theory · Mathematics 2007-06-13 J. A. Ferreira , A. H. Zwinderman

A cornerstone of the multiple testing literature is the Benjamini-Hochberg (BH) procedure, which guarantees control of the FDR when $p$-values are independent or positively dependent. While BH controls the average quality of rejections, it…

Methodology · Statistics 2026-03-31 Sarah Mostow , Daniel Xiang

Many modern applications require using data to select the statistical tasks and make valid inference after selection. In this article, we provide a unifying approach to control for a class of selective risks. Our method is motivated by a…

Methodology · Statistics 2024-11-11 Zijun Gao , Wenjie Hu , Qingyuan Zhao

In many practical applications of multiple hypothesis testing using the False Discovery Rate (FDR), the given hypotheses can be naturally partitioned into groups, and one may not only want to control the number of false discoveries (wrongly…

Methodology · Statistics 2016-11-01 Rina Foygel Barber , Aaditya Ramdas

Multiple hypothesis testing is a central topic in statistics, but despite abundant work on the false discovery rate (FDR) and the corresponding Type-II error concept known as the false non-discovery rate (FNR), a fine-grained understanding…

Statistics Theory · Mathematics 2017-05-17 Maxim Rabinovich , Aaditya Ramdas , Michael I. Jordan , Martin J. Wainwright

In contemporary problems involving genetic or neuroimaging data, thousands of hypotheses need to be tested. Due to their high power, and finite sample guarantees on type-I error under weak assumptions, Monte Carlo permutation tests are…

Methodology · Statistics 2025-09-01 Lasse Fischer , Timothy Barry , Aaditya Ramdas

Modern biological studies often involve testing many hypotheses organized in a group or a hierarchical structure, such as a directed acyclic graph (DAG). In these studies, researchers often wish to control the false discovery rate (FDR)…

Methodology · Statistics 2025-09-22 Marina Bogomolov , Shinjini Nandi