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False discovery rate (FDR) has been a key metric for error control in multiple hypothesis testing, and many methods have developed for FDR control across a diverse cross-section of settings and applications. We develop a closure principle…

Methodology · Statistics 2025-09-04 Ziyu Xu , Lasse Fischer , Aaditya Ramdas

The problem of multi-hypothesis testing with controlled sensing of observations is considered. The distribution of observations collected under each control is assumed to follow a single-parameter exponential family distribution. The goal…

Statistics Theory · Mathematics 2019-10-29 Aditya Deshmukh , Srikrishna Bhashyam , Venugopal V. Veeravalli

Simultaneously testing $K$ hypotheses while controlling the family-wise error rate is a fundamental problem in statistics. Existing procedures (Bonferroni, Holm, Hochberg, Hommel) provide valid control but sacrifice power, increasingly so…

Methodology · Statistics 2026-04-14 Prasanjit Dubey , Xiaoming Huo

Motivated by the genomic application of expression quantitative trait loci (eQTL) mapping, we propose a new procedure to perform simultaneous testing of multiple hypotheses using Bayes factors as input test statistics. One of the most…

Methodology · Statistics 2016-06-09 Xiaoquan Wen

The mitigation of false positives is an important issue when conducting multiple hypothesis testing. The most popular paradigm for false positives mitigation in high-dimensional applications is via the control of the false discovery rate…

Methodology · Statistics 2018-07-17 Hien D. Nguyen , Yohan Yee , Geoffrey J. McLachlan , Jason P. Lerch

We consider the problem of hypotheses testing with the basic simple hypothesis: observed sequence of points corresponds to stationary Poisson process with known intensity against a composite one-sided parametric alternative that this is a…

Statistics Theory · Mathematics 2007-06-13 Serguei Dachian , Yury A. Kutoyants

Fault injection attacks represent a type of active, physical attack against cryptographic circuits. Various countermeasures have been proposed to thwart such attacks, the design and implementation of which are, however, intricate,…

Cryptography and Security · Computer Science 2023-07-04 Huiyu Tan , Pengfei Gao , Taolue Chen , Fu Song , Zhilin Wu

Quantum hypothesis testing plays a pivotal role in quantum technologies, making decisions or drawing conclusions about quantum systems based on observed data. Recently, quantum control techniques have been successfully applied to quantum…

Quantum Physics · Physics 2025-10-16 Han Xu , Benran Wang , Haidong Yuan , Xin Wang

The group testing problem is concerned with identifying a small set of infected individuals in a large population. At our disposal is a testing procedure that allows us to test several individuals together. In an idealized setting, a test…

Information Theory · Computer Science 2023-09-19 Oliver Gebhard , Oliver Johnson , Philipp Loick , Maurice Rolvien

Conditional independence tests (CIT) are widely used for causal discovery and feature selection. Even with false discovery rate (FDR) control procedures, they often fail to provide frequentist guarantees in practice. We highlight two common…

Methodology · Statistics 2026-02-25 Milleno Pan , Antoine de Mathelin , Wesley Tansey

We propose a novel continuous testing framework to test the intensities of Poisson Processes. This framework allows a rigorous definition of the complete testing procedure, from an infinite number of hypothesis to joint error rates. Our…

Methodology · Statistics 2017-05-25 Franck Picard , Patricia Reynaud-Bouret , Etienne Roquain

Long-form factuality evaluation assesses the ability of models to generate accurate, comprehensive responses to short prompts. Existing benchmarks often lack human verification, leading to potential quality issues. To address this…

Computation and Language · Computer Science 2025-08-04 Mingda Chen , Yang Li , Xilun Chen , Adina Williams , Gargi Ghosh , Scott Yih

The asymptotically optimal hypothesis testing problem with the general sources as the null and alternative hypotheses is studied under exponential-type error constraints on the first kind of error probability. Our fundamental philosophy in…

Probability · Mathematics 2007-05-23 Te Sun Han

Despite the popularity of the false discovery rate (FDR) as an error control metric for large-scale multiple testing, its close Bayesian counterpart the local false discovery rate (lfdr), defined as the posterior probability that a…

Methodology · Statistics 2023-09-22 Jake A. Soloff , Daniel Xiang , William Fithian

In many hypothesis testing applications, we have mixed priors, with well-motivated informative priors for some parameters but not for others. The Bayesian methodology uses the Bayes factor and is helpful for the informative priors, as it…

Data Analysis, Statistics and Probability · Physics 2022-10-05 Jakob Robnik , Uroš Seljak

We propose a permutation-based method for testing a large collection of hypotheses simultaneously. Our method provides lower bounds for the number of true discoveries in any selected subset of hypotheses. These bounds are simultaneously…

Applications · Statistics 2023-01-30 Angela Andreella , Jesse Hemerik , Wouter Weeda , Livio Finos , Jelle Goeman

Fact-checking has gained increasing attention due to the widespread of falsified information. Most fact-checking approaches focus on claims made in English only due to the data scarcity issue in other languages. The lack of fact-checking…

Computation and Language · Computer Science 2022-09-07 Kung-Hsiang Huang , ChengXiang Zhai , Heng Ji

We consider the problem of asynchronous online testing, aimed at providing control of the false discovery rate (FDR) during a continual stream of data collection and testing, where each test may be a sequential test that can start and stop…

Methodology · Statistics 2020-08-25 Tijana Zrnic , Aaditya Ramdas , Michael I. Jordan

We discuss a general approach to handling "multiple hypotheses" testing in the case when a particular hypothesis states that the vector of parameters identifying the distribution of observations belongs to a convex compact set associated…

Statistics Theory · Mathematics 2016-02-24 A. Goldenshluger , A. Juditski , A. Nemirovski

We describe a general framework for weighted parametric multiple test procedures based on the closure principle. We utilize general weighting strategies that can reflect complex study objectives and include many procedures in the literature…

Methodology · Statistics 2019-08-14 Dong Xi , Ekkehard Glimm , Willi Maurer , Frank Bretz