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False discovery rate (FDR) procedures provide misleading inference when testing multiple null hypotheses with heterogeneous multinomial data. For example, in the motivating study the goal is to identify species of bacteria near the roots of…

Methodology · Statistics 2015-11-05 Joshua Habiger , David Watts , Michael Anderson

Given a nonparametric Hidden Markov Model (HMM) with two states, the question of constructing efficient multiple testing procedures is considered, treating one of the states as an unknown null hypothesis. A procedure is introduced, based on…

Statistics Theory · Mathematics 2021-01-12 Kweku Abraham , Ismael Castillo , Elisabeth Gassiat

This paper is concerned with false discovery rate (FDR) control in large-scale multiple testing problems. We first propose a new data-driven testing procedure for controlling the FDR in large-scale t-tests for one-sample mean problem. The…

Statistics Theory · Mathematics 2020-03-02 Changliang Zou , Haojie Ren , Xu Guo , Runze Li

A common task in high-throughput biology is to screen for associations across thousands of units of interest, e.g., genes or proteins. Often, the data for each unit are modeled as Gaussian measurements with unknown mean and variance and are…

Statistics Theory · Mathematics 2024-10-01 Nikolaos Ignatiadis , Bodhisattva Sen

This paper presents the experimental validation of a framework for the coordinated dispatch and control of multiple active distribution networks (ADNs) hosting distributed energy resource (DER). We show that the presented method, which…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Matthieu Jacobs , Hanmin Cai , Mario Paolone

Consider the problem of simultaneously testing null hypotheses H_1,...,H_s. The usual approach to dealing with the multiplicity problem is to restrict attention to procedures that control the familywise error rate (FWER), the probability of…

Statistics Theory · Mathematics 2007-06-13 E. L. Lehmann , Joseph P. Romano

Some crucial issues about a recently proposed estimator for the proportion of true null hypotheses ($\pi_0$) under discrete setup are discussed. An estimator for $\pi_0$ is introduced under the same setup. The estimator may be seen as a…

Statistics Theory · Mathematics 2020-09-09 Aniket Biswas , Gaurangadeb Chattopadhyay

Several classical methods exist for controlling the false discovery exceedance (FDX) for large scale multiple testing problems, among them the Lehmann-Romano procedure ([LR] below) and the Guo-Romano procedure ([GR] below). While these two…

Methodology · Statistics 2019-12-11 Sebastian Döhler , Etienne Roquain

In the high dimensional regression analysis when the number of predictors is much larger than the sample size, an important question is to select the important variable which are relevant to the response variable of interest. Variable…

Methodology · Statistics 2023-01-09 Pengsheng Ji , Zhigen Zhao

High-dimensional logistic regression is widely used in analyzing data with binary outcomes. In this paper, global testing and large-scale multiple testing for the regression coefficients are considered in both single- and two-regression…

Methodology · Statistics 2020-11-23 Rong Ma , T. Tony Cai , Hongzhe Li

In this paper, we investigate distributed inference schemes, over binary-valued Markov random fields, which are realized by the belief propagation (BP) algorithm. We first show that a decision variable obtained by the BP algorithm in a…

Information Theory · Computer Science 2019-09-19 Younes Abdi , Tapani Ristaniemi

In multicenter biomedical research, integrating data from multiple decentralized sites provides more robust and generalizable findings due to its larger sample size and the ability to account for the between-site heterogeneity. However,…

Methodology · Statistics 2025-12-29 Xiaokang Liu , Yuchen Yang , Yifei Sun , Jiang Bian , Yanyuan Ma , Raymond J. Carroll , Yong Chen

We are interested in the problem of two-sample network hypothesis testing: given two networks with the same set of nodes, we wish to test whether the underlying Bernoulli probability matrices of the two networks are the same or not. We…

Methodology · Statistics 2024-08-14 Jiashun Jin , Zheng Tracy Ke , Shengming Luo , Yucong Ma

We propose a distributed Bayesian quickest change detection algorithm for sensor networks, based on a random gossip inter-sensor communication structure. Without a control or fusion center, each sensor executes its local change detection…

Information Theory · Computer Science 2015-12-09 Di Li , Soummya Kar , Fuad E. Alsaadi , Shuguang Cui

A topological multiple testing scheme is presented for detecting peaks in images under stationary ergodic Gaussian noise, where tests are performed at local maxima of the smoothed observed signals. The procedure generalizes the…

Methodology · Statistics 2014-05-08 Dan Cheng , Armin Schwartzman

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

This paper extends the theory of false discovery rates (FDR) pioneered by Benjamini and Hochberg [J. Roy. Statist. Soc. Ser. B 57 (1995) 289-300]. We develop a framework in which the False Discovery Proportion (FDP)--the number of false…

Statistics Theory · Mathematics 2007-06-13 Christopher Genovese , Larry Wasserman

Consider the problem of testing $s$ hypotheses simultaneously. The usual approach restricts attention to procedures that control the probability of even one false rejection, the familywise error rate (FWER). If $s$ is large, one might be…

Statistics Theory · Mathematics 2007-11-06 Joseph P. Romano , Michael Wolf

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

Identifying signals that replicate across multiple studies is essential for establishing robust scientific evidence, yet existing methods for high-dimensional replicability analysis either rely on restrictive modeling assumptions, are…

Methodology · Statistics 2026-03-05 Haochen Lei , Yan Li , Hongyuan Cao
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