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When testing multiple hypothesis in a survey --e.g. many different source locations, template waveforms, and so on-- the final result consists in a set of confidence intervals, each one at a desired confidence level. But the probability…

General Relativity and Quantum Cosmology · Physics 2009-11-11 L. Baggio , G. A. Prodi

The maximum type-I and type-II error exponents associated with the newly introduced almost-fixed-length hypothesis testing is characterized. In this class of tests, the decision-maker declares the true hypothesis almost always after…

Information Theory · Computer Science 2016-05-18 Anusha Lalitha , Tara Javidi

We introduce a simple tool to control for false discoveries and identify individual signals in scenarios involving many tests, dependent test statistics, and potentially sparse signals. The tool applies the Cauchy combination test…

Econometrics · Economics 2023-06-02 Nabil Bouamara , Sébastien Laurent , Shuping Shi

A fundamental problem in data fusion is to determine the veracity of multi-source data in order to resolve conflicts. While previous work in truth discovery has proved to be useful in practice for specific settings, sources' behavior or…

Databases · Computer Science 2014-09-24 Dalia Attia Waguih , Laure Berti-Equille

A new method based on the rejection sampling for finding statistical tests is proposed. This method is conceptually intuitive, easy to implement, and applicable for arbitrary dimension. To illustrate its potential applicability, three…

Methodology · Statistics 2026-03-11 Markku Kuismin

We propose a general and flexible procedure for testing multiple hypotheses about sequential (or streaming) data that simultaneously controls both the false discovery rate (FDR) and false nondiscovery rate (FNR) under minimal assumptions…

Methodology · Statistics 2019-01-14 Jay Bartroff , Jinlin Song

The standard paradigm for confirmatory clinical trials is to compare experimental treatments with a control, for example the standard of care or a placebo. However, it is not always the case that a suitable control exists. Efficient…

Methodology · Statistics 2024-10-29 Thomas Burnett , Thomas Jaki

A number of biomedical problems require performing many hypothesis tests, with an attendant need to apply stringent thresholds. Often the data take the form of a series of predictor vectors, each of which must be compared with a single…

Methodology · Statistics 2014-05-13 Yi-Hui Zhou , Fred Wright

Multiple hypothesis testing is a significant problem in nearly all neuroimaging studies. In order to correct for this phenomena, we require a reliable estimate of the Family-Wise Error Rate (FWER). The well known Bonferroni correction…

Computation · Statistics 2015-02-17 Chris Hinrichs , Vamsi K Ithapu , Qinyuan Sun , Sterling C Johnson , Vikas Singh

Large-scale hypothesis testing is central to modern science, where controlling the False Discovery Rate (FDR) has become the standard approach to managing false positives across many simultaneous tests. Hypotheses rarely exist in isolation;…

Methodology · Statistics 2026-05-19 Binyamin Perets , Shie Mannor

Scientific hypotheses in a variety of applications have domain-specific structures, such as the tree structure of the International Classification of Diseases (ICD), the directed acyclic graph structure of the Gene Ontology (GO), or the…

Methodology · Statistics 2020-04-14 Eugene Katsevich , Chiara Sabatti , Marina Bogomolov

Statistical discoveries are often obtained through multiple hypothesis testing. A variety of procedures exists to evaluate multiple hypotheses, for instance the ones of Benjamini-Hochberg, Bonferroni, Holm or Sidak. We are particularly…

Statistics Theory · Mathematics 2018-10-17 Georg Hahn

Global hypothesis tests are a useful tool in the context of, e.g, clinical trials, genetic studies or meta analyses, when researchers are not interested in testing individual hypotheses, but in testing whether none of the hypotheses is…

Methodology · Statistics 2017-09-05 Andreas Futschik , Thomas Taus , Sonja Zehetmayer

In this paper, we further develop the approach, originating in [GJN], to "computation-friendly" hypothesis testing via Convex Programming. Most of the existing results on hypothesis testing aim to quantify in a closed analytic form…

Statistics Theory · Mathematics 2016-10-04 Anatoli Juditsky , Arkadi Nemirovski

This paper continues the line of research initiated in Liu et. al. (2016) on developing a novel framework for multiple testing of hypotheses grouped in a one-way classified form using hypothesis-specific local false discovery rates…

Methodology · Statistics 2022-11-22 Sanat K. Sarkar , Zhigen Zhao

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

Closed testing and partitioning are recognized as fundamental principles of familywise error control. In this paper, we argue that sequential rejection can be considered equally fundamental as a general principle of multiple testing. We…

Statistics Theory · Mathematics 2012-11-15 Jelle J. Goeman , Aldo Solari

The key limitation of the verification performance lies in the ability of error detection. With this intuition we designed several variants of pessimistic verification, which are simple workflows that could significantly improve the…

Artificial Intelligence · Computer Science 2025-11-27 Yanxing Huang , Zihan Tang , Zejin Lin , Peng Li , Yang Liu

When simultaneously testing multiple hypotheses, the usual approach in the context of confirmatory clinical trials is to control the familywise error rate (FWER), which bounds the probability of making at least one false rejection. In many…

Methodology · Statistics 2021-05-20 David S. Robertson , James M. S. Wason , Frank Bretz

Large-scale multiple testing with correlated and heavy-tailed data arises in a wide range of research areas from genomics, medical imaging to finance. Conventional methods for estimating the false discovery proportion (FDP) often ignore the…

Methodology · Statistics 2018-09-19 Jianqing Fan , Yuan Ke , Qiang Sun , Wen-Xin Zhou
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