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This paper considers the problem of testing many moment inequalities where the number of moment inequalities, denoted by $p$, is possibly much larger than the sample size $n$. There is a variety of economic applications where solving this…

Statistics Theory · Mathematics 2018-10-22 Victor Chernozhukov , Denis Chetverikov , Kengo Kato

This paper considers Bayesian multiple testing under sparsity for polynomial-tailed distributions satisfying a monotone likelihood ratio property. Included in this class of distributions are the Student's t, the Pareto, and many other…

Statistics Theory · Mathematics 2016-07-29 Xueying Tang , Ke Li , Malay Ghosh

False discovery rate (FDR) is a common way to control the number of false discoveries in multiple testing. There are a number of approaches available for controlling FDR. However, for functional test statistics, which are discretized into…

Methodology · Statistics 2024-12-03 Tomáš Mrkvička , Mari Myllymäki

In this paper, we address conditional testing problems through the conformal inference framework. We define the localized conformal p-values by inverting prediction intervals and prove their theoretical properties. These defined p-values…

Methodology · Statistics 2024-09-26 Xiaoyang Wu , Lin Lu , Zhaojun Wang , Changliang Zou

Adjustment of statistical significance levels for repeated analysis in group sequential trials has been understood for some time. Similarly, methods for adjustment accounting for testing multiple hypotheses are common. There is limited…

Methodology · Statistics 2023-11-28 Yujie Zhao , Qi Liu , Linda Z. Sun , Keaven M. Anderson

In modern multiple hypothesis testing, the availability of covariate information alongside the primary test statistics has motivated the development of more powerful and adaptive inference methods. However, most existing approaches rely on…

Methodology · Statistics 2025-11-20 Taehyoung Kim , Seohwa Hwang , Junyong Park

Software packages usually report the results of statistical tests using p-values. Users often interpret these by comparing them to standard thresholds, e.g. 0.1%, 1% and 5%, which is sometimes reinforced by a star rating (***, **, *). We…

Methodology · Statistics 2019-11-05 Axel Gandy , Georg Hahn , Dong Ding

Many important tasks of large-scale recommender systems can be naturally cast as testing multiple linear forms for noisy matrix completion. These problems, however, present unique challenges because of the subtle bias-and-variance tradeoff…

Methodology · Statistics 2025-03-12 Wanteng Ma , Lilun Du , Dong Xia , Ming Yuan

Considering multivariate strongly mixing time series, nonparametric tests for a constant copula with specified or unspecified change point (candidate) are derived; the tests are consistent against general alternatives. A tapered block…

Statistics Theory · Mathematics 2012-06-11 Axel Bücher , Martin Ruppert

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

Online testing procedures aim to control the extent of false discoveries over a sequence of hypothesis tests, allowing for the possibility that early-stage test results influence the choice of hypotheses to be tested in later stages.…

Methodology · Statistics 2021-10-18 Aaron Fisher

I introduce a simple permutation procedure to test conventional (non-sharp) hypotheses about the effect of a binary treatment in the presence of a finite number of large, heterogeneous clusters when the treatment effect is identified by…

Econometrics · Economics 2023-02-08 Andreas Hagemann

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

In high-throughput biology, it is common to fit thousands of linear regressions -- one per gene, protein, or other unit -- with very few samples per unit. Limma-trend, one of the most widely used methods in this setting, improves power by…

Methodology · Statistics 2026-05-21 Sagnik Nandy , Wanyi Ling , Nikolaos Ignatiadis

This paper develops novel conformal methods to test whether a new observation was sampled from the same distribution as a reference set. Blending inductive and transductive conformal inference in an innovative way, the described methods can…

Methodology · Statistics 2022-08-26 Ziyi Liang , Matteo Sesia , Wenguang Sun

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

The practice of pooling several individual test statistics to form aggregate tests is common in many statistical application where individual tests may be underpowered. While selection by aggregate tests can serve to increase power, the…

Methodology · Statistics 2020-12-08 Ruth Heller , Amit Meir , Nilanjan Chatterjee

Experimental evaluations of public policies often randomize a new intervention within many sites or blocks. After a report of an overall result -- statistically significant or not -- the natural question from a policy maker is: \emph{where}…

Methodology · Statistics 2026-03-02 Jake Bowers , David Kim , Nuole Chen

Matrix-variate Gaussian graphical models (GGM) have been widely used for modeling matrix-variate data. Since the support of sparse precision matrix represents the conditional independence graph among matrix entries, conducting support…

Methodology · Statistics 2017-09-01 Xi Chen , Weidong Liu

Large-scale multiple testing under static factor models is widely used to detect sparse signals in high-dimensional data. However, static factor models are arguably too stringent because they ignore serial correlation, which seriously…

Statistics Theory · Mathematics 2025-04-04 Xinxin Yang , Lilun Du
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