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The $\gamma$-FDP and $k$-FWER multiple testing error metrics, which are tail probabilities of the respective error statistics, have become popular recently as less-stringent alternatives to the FDR and FWER. We propose general and flexible…

统计方法学 · 统计学 2016-12-20 Jay Bartroff

Given a large matrix containing independent data entries, we consider the problem of detecting a submatrix inside the data matrix that contains larger-than-usual values. Different from previous literature, we do not have exact information…

统计理论 · 数学 2020-03-03 Yuchao Liu , Jiaqi Guo

In genome-wide association (GWA) studies the goal is to detect association between one or more genetic markers and a given phenotype. The number of genetic markers in a GWA study can be in the order hundreds of thousands and therefore…

统计方法学 · 统计学 2016-12-22 Kari Krizak Halle , Srdjan Djurovic , Ole Andreas Andreassen , Mette Langaas

Here we address dependence among the test statistics in connection with asymptotically Bayes' optimal tests in presence of sparse alternatives. Extending the setup in Bogdan et.al. (2011) we consider an equicorrelated ( with equal…

统计方法学 · 统计学 2022-08-29 Rahul Roy , Subir Kumar Bhandari

Test procedures for multiple hypotheses in a group sequential clinical trial that control the family-wise error rate are considered. Several graphical group sequential tests suggested in the literature, which are special cases of…

统计方法学 · 统计学 2026-05-13 Liane Kluge , Werner Brannath

I propose a novel approach to simultaneous inference that alleviates the need to specify a correlational structure among marginal errors. The vacuous orientation assumption retains what the normal i.i.d. assumption implies about the…

统计方法学 · 统计学 2019-10-11 Ruobin Gong

Word error rate (WER) is a standard metric for the evaluation of Automated Speech Recognition (ASR) systems. However, WER fails to provide a fair evaluation of human perceived quality in presence of spelling variations, abbreviations, or…

计算与语言 · 计算机科学 2023-03-10 Satarupa Guha , Rahul Ambavat , Ankur Gupta , Manish Gupta , Rupeshkumar Mehta

This paper explores the intrinsic connections between the Bayesian false discovery rate (FDR) control procedures and their counterpart of frequentist procedures. We attempt to offer a unified view of FDR control within and beyond the…

统计方法学 · 统计学 2018-03-15 Xiaoquan Wen

Controlling the false discovery rate (FDR) is a powerful approach to multiple testing. In many applications, the tested hypotheses have an inherent hierarchical structure. In this paper, we focus on the fixed sequence structure where the…

统计方法学 · 统计学 2016-11-11 Gavin Lynch , Wenge Guo , Sanat K. Sarkar , Helmut Finner

Stress testing poses a causal question: how would portfolio credit losses change if the macroeconomy followed an adverse counterfactual path? Yet standard practice remains predictive and might be therefore vulnerable to omitted-variable…

人工智能 · 计算机科学 2026-05-19 Yu Wang , Xiangchen Liu , Siguang Li

Linear regression is arguably the most widely used statistical method. With fixed regressors and correlated errors, the conventional wisdom is to modify the variance-covariance estimator to accommodate the known correlation structure of the…

统计理论 · 数学 2024-10-11 Zifeng Zhang , Peng Ding , Wen Zhou , Haonan Wang

The population-wise error rate (PWER) is a type I error rate for clinical trials with multiple target populations. In such trials, a treatment is tested for its efficacy in each population. The PWER is defined as the probability that a…

统计方法学 · 统计学 2024-12-13 Remi Luschei , Werner Brannath

We study the finite convergence of iterative methods for solving convex feasibility problems. Our key assumptions are that the interior of the solution set is nonempty and that certain overrelaxation parameters converge to zero, but with a…

最优化与控制 · 数学 2021-07-13 Victor I. Kolobov , Simeon Reich , Rafał Zalas

Motivated by the simultaneous association analysis with the presence of latent confounders, this paper studies the large-scale hypothesis testing problem for the high-dimensional confounded linear models with both non-asymptotic and…

统计方法学 · 统计学 2023-08-24 Yinrui Sun , Li Ma , Yin Xia

Improved procedures, in terms of smaller missed discovery rates (MDR), for performing multiple hypotheses testing with weak and strong control of the family-wise error rate (FWER) or the false discovery rate (FDR) are developed and studied.…

统计理论 · 数学 2011-03-10 Edsel A. Peña , Joshua D. Habiger , Wensong Wu

It is shown that for any correlation-parametrized model of dependence and any given significance level $\alpha\in(0,1)$, there is an asymptotically optimal transform of Pearson's correlation statistic $R$, for which the generally leading…

统计理论 · 数学 2019-07-29 Iosif Pinelis

We investigate the problem of jointly testing multiple hypotheses and estimating a random parameter of the underlying distribution in a sequential setup. The aim is to jointly infer the true hypothesis and the true parameter while using on…

信号处理 · 电气工程与系统科学 2024-02-02 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

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}…

统计方法学 · 统计学 2026-03-02 Jake Bowers , David Kim , Nuole Chen

Consider a testing problem for the null hypothesis $H_0:\theta\in\Theta_0$. The standard frequentist practice is to reject the null hypothesis when the p-value is smaller than a threshold value $\alpha$, usually 0.05. We ask the question…

统计理论 · 数学 2007-06-13 Anirban DasGupta , Tonglin Zhang

In multiple testing scenarios, typically the sign of a parameter is inferred when its estimate exceeds some significance threshold in absolute value. Typically, the significance threshold is chosen to control the experimentwise type I error…

统计方法学 · 统计学 2018-01-03 Chaoyu Yu , Peter D. Hoff