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The Benjamini-Yekutieli procedure is a multiple testing method that controls the false discovery rate under arbitrary dependence of the $p$-values. A modification of this and related procedures is proposed for the case when the test…

统计理论 · 数学 2016-12-16 Sebastian Döhler

In the multiple testing context, a challenging problem is the estimation of the proportion $\pi_0$ of true-null hypotheses. A large number of estimators of this quantity rely on identifiability assumptions that either appear to be violated…

统计理论 · 数学 2008-12-18 Alain Celisse , Stéphane Robin

In this work we study an adaptive step-down procedure for testing $m$ hypotheses. It stems from the repeated use of the false discovery rate controlling the linear step-up procedure (sometimes called BH), and makes use of the critical…

统计理论 · 数学 2009-04-01 Yulia Gavrilov , Yoav Benjamini , Sanat K. Sarkar

We study the problem of distributed hypothesis testing over a network of mobile agents with limited communication and sensing ranges to infer the true hypothesis collaboratively. In particular, we consider a scenario where there is an…

系统与控制 · 电气工程与系统科学 2021-07-20 Bo Wu , Steven Carr , Suda Bharadwaj , Zhe Xu , Ufuk Topcu

Large-scale hypothesis testing is central to modern science, where controlling the False Discovery Rate (FDR) has become the standard approach to managing false positives across many simultaneous tests. Hypotheses rarely exist in isolation;…

统计方法学 · 统计学 2026-05-19 Binyamin Perets , Shie Mannor

Despite the popularity of the false discovery rate (FDR) as an error control metric for large-scale multiple testing, its close Bayesian counterpart the local false discovery rate (lfdr), defined as the posterior probability that a…

统计方法学 · 统计学 2023-09-22 Jake A. Soloff , Daniel Xiang , William Fithian

We consider the challenge of efficiently detecting changes within a network of sensors, where we also need to minimise communication between sensors and the cloud. We propose an online, communication-efficient method to detect such changes.…

统计方法学 · 统计学 2024-04-11 Ziyang Yang , Idris A. Eckley , Paul Fearnhead

Stepwise multiple testing procedures have attracted several statisticians for decades and are also quite popular with statistics users because of their technical simplicity. The Bonferroni procedure has been one of the earliest and most…

统计理论 · 数学 2023-02-21 Monitirtha Dey

In wireless ad hoc networks, distributed nodes can collaboratively form an antenna array for long-distance communications to achieve high energy efficiency. In recent work, Ochiai, et al., have shown that such collaborative beamforming can…

信息论 · 计算机科学 2007-07-13 Athina P. Petropulu , Lun Dong , H. Vincent Poor

In many modern applications, large-scale sensor networks are used to perform statistical inference tasks. In this paper, we propose Bayesian methods for multiple change-point detection using a sensor network in which a fusion center (FC)…

信息论 · 计算机科学 2023-07-19 Eyal Nitzan , Topi Halme , Visa Koivunen

This paper deals with the problem of designing a distributed fault detection and isolation algorithm for nonlinear large-scale systems that are subjected to multiple fault modes. To solve this problem, a network of communicating detection…

系统与控制 · 计算机科学 2016-09-27 Elaheh Noursadeghi , Ioannis Raptis

We study the problem of collaboratively estimating the state of a discrete-time LTI process by a network of sensor nodes interacting over a time-varying directed communication graph. Existing approaches to this problem either (i) make…

系统与控制 · 计算机科学 2018-10-16 Aritra Mitra , John A. Richards , Saurabh Bagchi , Shreyas Sundaram

Network-based clustering methods frequently require the number of communities to be specified \emph{a priori}. Moreover, most of the existing methods for estimating the number of communities assume the number of communities to be fixed and…

统计方法学 · 统计学 2022-01-14 Chetkar Jha , Mingyao Li , Ian Barnett

We study a stylized multiple testing problem where the test statistics are independent and assumed to have the same distribution under their respective null hypotheses. We first show that, in the normal means model where the test statistics…

统计理论 · 数学 2016-04-27 Ery Arias-Castro , Shiyun Chen

Consider the multiple testing problem of testing null hypotheses $H_1,...,H_s$. A classical approach to dealing with the multiplicity problem is to restrict attention to procedures that control the familywise error rate ($\mathit{FWER}$),…

统计理论 · 数学 2007-06-13 Joseph P. Romano , Azeem M. Shaikh

Clustered effects are often encountered in multiple hypothesis testing of spatial signals. In this paper, we propose a new method, termed \textit{two-dimensional spatial multiple testing} (2d-SMT) procedure, to control the false discovery…

统计方法学 · 统计学 2024-08-13 Linsui Deng , Kejun He , Xianyang Zhang

Large-scale multiple testing is a fundamental problem in high dimensional statistical inference. It is increasingly common that various types of auxiliary information, reflecting the structural relationship among the hypotheses, are…

统计方法学 · 统计学 2021-10-07 Hongyuan Cao , Jun Chen , Xianyang Zhang

Using the matrix factorization technique in machine learning is very common mainly in areas like recommender systems. Despite its high prediction accuracy and its ability to avoid over-fitting of the data, the Bayesian Probabilistic Matrix…

分布式、并行与集群计算 · 计算机科学 2017-05-31 Tom Vander Aa , Imen Chakroun , Tom Haber

We consider the problem of distributed hypothesis testing (or social learning) where a network of agents seeks to identify the true state of the world from a finite set of hypotheses, based on a series of stochastic signals that each agent…

多智能体系统 · 计算机科学 2020-04-06 Shreyas Sundaram , Aritra Mitra

A distributed binary hypothesis testing (HT) problem involving two parties, a remote observer and a detector, is studied. The remote observer has access to a discrete memoryless source, and communicates its observations to the detector via…

信息论 · 计算机科学 2020-04-30 Sreejith Sreekumar , Asaf Cohen , Deniz Gündüz