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The simultaneous analysis of many statistical tests is ubiquitous in applications. Perhaps the most popular error rate used for avoiding type one error inflation is the false discovery rate (FDR). However, most theoretical and software…

Computation · Statistics 2019-04-04 Guillermo Durand , Florian Junge , Sebastian Döhler , Etienne Roquain

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

Motivation: In microarray analysis, special consideration must be given to the issues of multiple statistical tests and typically p-values are adjusted to control family-wise error rate (FWER) or false discovery rate (FDR). FDR metrics have…

Quantitative Methods · Quantitative Biology 2007-05-23 Rishi L. Khan , Rajanikanth Vadigepalli , Guang Gao , James S. Schwaber

The false discovery rate (FDR) and false nondiscovery rate (FNDR) have received considerable attention in the literature on multiple testing. These performance measures are also appropriate for classification, and in this work we develop…

Statistics Theory · Mathematics 2009-01-28 Clayton Scott , Gowtham Bellala , Rebecca Willett

We introduce a multiple testing procedure that controls the median of the proportion of false discoveries (FDP) in a flexible way. The procedure only requires a vector of p-values as input and is comparable to the Benjamini-Hochberg method,…

Methodology · Statistics 2024-03-14 Jesse Hemerik , Aldo Solari , Jelle J Goeman

Multiple testing is a fundamental problem in high-dimensional statistical inference. Although many methods have been proposed to control false discoveries, it is still a challenging task when the tests are correlated to each other. To…

Statistics Theory · Mathematics 2022-07-06 Meng Mei , Yuan Jiang

Penalized regression methods are an attractive tool for high-dimensional data analysis, but their widespread adoption has been hampered by the difficulty of applying inferential tools. In particular, the question "How reliable is the…

Statistics Theory · Mathematics 2026-05-13 Patrick Breheny

In this paper, we investigate the adequacy testing problem of high-dimensional factor-augmented regression model. Existing test procedures perform not well under dense alternatives. To address this critical issue, we introduce a novel…

Methodology · Statistics 2025-04-04 Yanmei Shi , Leheng Cai , Xu Guo , Shurong Zheng

Fast multiple change-point segmentation methods, which additionally provide faithful statistical statements on the number, locations and sizes of the segments, have recently received great attention. In this paper, we propose a multiscale…

Statistics Theory · Mathematics 2016-04-15 Housen Li , Axel Munk , Hannes Sieling

In large scale multiple testing problems, a two-class empirical Bayes approach can be used to control the false discovery rate (Fdr) for the entire array of hypotheses under study. A sample splitting step is incorporated to modify that…

Computation · Statistics 2019-12-13 Paramita Chakraborty , Chong Ma , John Grego , James Lynch

Stability and reproducibility are essential considerations in various applications of statistical methods. False Discovery Rate (FDR) control methods are able to control false signals in scientific discoveries. However, many FDR control…

Methodology · Statistics 2025-12-22 Jiajun Sun , Zhanrui Cai , Wei Zhong

High-dimensional sparse generalized linear models (GLMs) have emerged in the setting that the number of samples and the dimension of variables are large, and even the dimension of variables grows faster than the number of samples. False…

Statistics Theory · Mathematics 2021-05-04 Chang Cui , Jinzhu Jia , Yijun Xiao , Huiming Zhang

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

Thanks to its fine balance between model flexibility and interpretability, the nonparametric additive model has been widely used, and variable selection for this type of model has been frequently studied. However, none of the existing…

Methodology · Statistics 2022-01-10 Xiaowu Dai , Xiang Lyu , Lexin Li

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…

Statistics Theory · Mathematics 2025-06-16 Yu-Chien Bo Ning

The paper considers the problem of identifying the sparse different components between two high dimensional means of column-wise dependent random vectors. We show that the dependence can be utilized to lower the identification boundary for…

Methodology · Statistics 2014-10-13 Jun Li , Ping-Shou Zhong

In a multiple testing task, finding an appropriate estimator of the proportion $\pi_0$ of non-signal in the data to boost power of false discovery rate (FDR) controlling procedures is a long-standing research theme, sometimes referred to as…

Methodology · Statistics 2026-03-19 Gao Zijun , Roquain Etienne

Controlling the false discovery rate (FDR) in variable selection becomes challenging when predictors are correlated, as existing methods often exclude all members of correlated groups and consequently perform poorly for prediction. We…

Methodology · Statistics 2026-03-03 Sarah Organ , Toby Kenney , Hong Gu

We study online multiple testing with feedback, where decisions are made sequentially and the true state of the hypothesis is revealed after the decision has been made, either instantly or with a delay. We propose GAIF, a feedback-enhanced…

Methodology · Statistics 2026-04-14 Lin Lu , Yuyang Huo , Haojie Ren , Zhaojun Wang , Changliang Zou

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