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The recently proposed fixed-X knockoff is a powerful variable selection procedure that controls the false discovery rate (FDR) in any finite-sample setting, yet its theoretical insights are difficult to show beyond Gaussian linear models.…

统计方法学 · 统计学 2023-11-28 Han Su , Panxu Yuan , Qingyang Sun , Mengxi Yi , Gaorong Li

We consider problems where many, somewhat redundant, hypotheses are tested and we are interested in reporting the most precise rejections, with false discovery rate (FDR) control. This is the case, for example, when researchers are…

统计方法学 · 统计学 2024-04-23 Paula Gablenz , Chiara Sabatti

Controlling the False Discovery Rate (FDR) in a variable selection procedure is critical for reproducible discoveries, and it has been extensively studied in sparse linear models. However, it remains largely open in scenarios where the…

统计方法学 · 统计学 2023-11-16 Yang Cao , Xinwei Sun , Yuan Yao

The genetic basis of multiple phenotypes such as gene expression, metabolite levels, or imaging features is often investigated by testing a large collection of hypotheses, probing the existence of association between each of the traits and…

应用统计 · 统计学 2015-04-06 Christine Peterson , Marina Bogomolov , Yoav Benjamini , Chiara Sabatti

In the context of high-dimensional Gaussian linear regression for ordered variables, we study the variable selection procedure via the minimization of the penalized least-squares criterion. We focus on model selection where the penalty…

统计理论 · 数学 2024-07-01 Perrine Lacroix , Marie-Laure Martin

This paper explores the multiple testing problem for sparse high-dimensional data with binary outcomes. We propose novel empirical Bayes multiple testing procedures based on a spike-and-slab posterior and then evaluate their performance in…

统计理论 · 数学 2025-06-16 Yu-Chien Bo Ning

The introduction of the false discovery rate (FDR) by Benjamini and Hochberg has spurred a great interest in developing methodologies to control the FDR in various settings. The majority of existing approaches, however, address the FDR…

统计方法学 · 统计学 2016-06-09 Kasra Alishahi , Ahmad Reza Ehyaei , Ali Shojaie

Controlling the false discovery rate (FDR) in high-dimensional variable selection requires balancing rigorous error control with statistical power. Existing methods with provable guarantees are often overly conservative, creating a…

统计方法学 · 统计学 2026-02-06 Arnau Vilella , Jasin Machkour , Michael Muma , Daniel P. Palomar

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

False discovery rate (FDR) control is a popular approach for maintaining the integrity of statistical analyses, especially in high-dimensional data settings, where multiple comparisons increase the risk of false positives. FDR control has…

信号处理 · 电气工程与系统科学 2026-03-03 Fabian Scheidt , Jasin Machkour , Michael Muma

Multiple hypothesis testing is a core problem in statistical inference and arises in almost every scientific field. Given a set of null hypotheses $\mathcal{H}(n) = (H_1,\dotsc, H_n)$, Benjamini and Hochberg introduced the false discovery…

统计理论 · 数学 2017-07-10 Adel Javanmard , Andrea Montanari

Motivated by the gene co-expression pattern analysis, we propose a novel sample quantile-based contingency (squac) statistic to infer quantile associations conditioning on covariates. It features enhanced flexibility in handling variables…

统计方法学 · 统计学 2018-08-27 Jichun Xie , Ruosha Li

The false discovery rate (FDR) measures the share of false positives in a set of statistical tests. I develop simple and intuitive bounds on the FDR in cross-sectional predictability publications. The simplest bound requires just a few…

综合金融 · 定量金融 2025-11-20 Andrew Y. Chen

Variable selection has been widely used in data analysis for the past decades, and it becomes increasingly important in the Big Data era as there are usually hundreds of variables available in a dataset. To enhance interpretability of a…

统计方法学 · 统计学 2020-08-17 Yuxiang Xie , Kwun Chuen Gary Chan

A new online multiple testing procedure is described in the context of anomaly detection, which controls the False Discovery Rate (FDR). An accurate anomaly detector must control the false positive rate at a prescribed level while keeping…

统计方法学 · 统计学 2024-12-17 Etienne Krönert , Alain Célisse , Dalila Hattab

A previously proved theorem gives sufficient conditions for an estimator of the false discovery rate (FDR) to conservatively converge to the FDR with probability 1 as the number of hypothesis tests increases, even for small sample sizes. It…

基因组学 · 定量生物学 2007-05-23 David R. Bickel

Signal identification in large-dimensional settings is a challenging problem in biostatistics. Recently, the method of higher criticism (HC) was shown to be an effective means for determining appropriate decision thresholds. Here, we study…

统计方法学 · 统计学 2012-12-21 Bernd Klaus , Korbinian Strimmer

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

In high dimensional variable selection problems, statisticians often seek to design multiple testing procedures that control the False Discovery Rate (FDR), while concurrently identifying a greater number of relevant variables. Model-X…

统计理论 · 数学 2023-07-25 Taejoo Ahn , Licong Lin , Song Mei

Multiple hypotheses testing is a core problem in statistical inference and arises in almost every scientific field. Given a sequence of null hypotheses $\mathcal{H}(n) = (H_1,..., H_n)$, Benjamini and Hochberg…

统计方法学 · 统计学 2015-03-05 Adel Javanmard , Andrea Montanari