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To find interesting items in genome-wide association studies or next generation sequencing data, a crucial point is to design powerful false discovery rate (FDR) controlling procedures that suitably combine discrete tests (typically…

Statistics Theory · Mathematics 2017-09-18 Sebastian Döhler , Guillermo Durand , Etienne Roquain

This paper considers the problem of multi-sample nonparametric comparison of counting processes with panel count data, which arise naturally when recurrent events are considered. Such data frequently occur in medical follow-up studies and…

Statistics Theory · Mathematics 2009-04-21 N. Balakrishnan , Xingqiu Zhao

High throughput screening of compounds (chemicals) is an essential part of drug discovery [7], involving thousands to millions of compounds, with the purpose of identifying candidate hits. Most statistical tools, including the industry…

Machine Learning · Statistics 2017-09-29 Ivo D. Shterev , David B. Dunson , Cliburn Chan , Gregory D. Sempowski

We engineer a new probabilistic Monte-Carlo algorithm for isomorphism testing. Most notably, as opposed to all other solvers, it implicitly exploits the presence of symmetries without explicitly computing them. We provide extensive…

Data Structures and Algorithms · Computer Science 2020-11-19 Markus Anders , Pascal Schweitzer

It is quite common in modern research, for a researcher to test many hypotheses. The statistical (frequentist) hypothesis testing framework, does not scale with the number of hypotheses in the sense that naively performing many hypothesis…

Methodology · Statistics 2013-06-26 Jonathan Rosenblatt

The spectral density matrix is a fundamental object of interest in time series analysis, and it encodes both contemporary and dynamic linear relationships between component processes of the multivariate system. In this paper we develop…

Statistics Theory · Mathematics 2025-02-04 Jinyuan Chang , Qing Jiang , Tucker S. McElroy , Xiaofeng Shao

We consider a multiple hypothesis testing problem in a sensor network over the joint spatio-temporal domain. The sensor network is modeled as a graph, with each vertex representing a sensor and a signal over time associated with each…

Signal Processing · Electrical Eng. & Systems 2025-01-23 Xingchao Jian , Martin Gölz , Feng Ji , Wee Peng Tay , Abdelhak M. Zoubir

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

Modern biomedical research frequently involves testing multiple related hypotheses, while maintaining control over a suitable error rate. In many applications the false discovery rate (FDR), which is the expected proportion of false…

Methodology · Statistics 2018-09-27 David S. Robertson , James M. S. Wason

Since Benjamini and Hochberg introduced false discovery rate (FDR) in their seminal paper, this has become a very popular approach to the multiple comparisons problem. An increasingly popular topic within functional data analysis is local…

Methodology · Statistics 2019-08-16 Niels Lundtorp Olsen , Alessia Pini , Simone Vantini

We discuss a new procedure to search for point sources in Cosmic Microwave background maps; in particular, we aim at controlling the so-called False Discovery Rate, which is defined as the expected value of false discoveries among pixels…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 Javier Carrón Duque , Alessandro Buzzelli , Yabebal Fantaye , Domenico Marinucci , Armin Schwartzman , Nicola Vittorio

The Bonferroni multiple testing procedure is commonly perceived as being overly conservative in large-scale simultaneous testing situations such as those that arise in microarray data analysis. The objective of the present study is to show…

Applications · Statistics 2009-09-29 Alexander Gordon , Galina Glazko , Xing Qiu , Andrei Yakovlev

We consider large-scale studies in which thousands of significance tests are performed simultaneously. In some of these studies, the multiple testing procedure can be severely biased by latent confounding factors such as batch effects and…

Methodology · Statistics 2016-06-21 Jingshu Wang , Qingyuan Zhao , Trevor Hastie , Art B. Owen

The generalized linear models (GLM) have been widely used in practice to model non-Gaussian response variables. When the number of explanatory features is relatively large, scientific researchers are of interest to perform controlled…

Methodology · Statistics 2020-07-03 Chenguang Dai , Buyu Lin , Xin Xing , Jun S. Liu

Within a Bayesian decision theoretic framework we investigate some asymptotic optimality properties of a large class of multiple testing rules. A parametric setup is considered, in which observations come from a normal scale mixture model…

Statistics Theory · Mathematics 2012-11-22 Małgorzata Bogdan , Arijit Chakrabarti , Florian Frommlet , Jayanta K. Ghosh

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 revisits the following open question in simultaneous testing of multivariate normal means against two-sided alternatives: Can the method of Benjamini and Hochberg (BH, 1995) control the false discovery rate (FDR) without imposing…

Statistics Theory · Mathematics 2023-04-12 Sanat K. Sarkar

The large bulk of work in multiple testing has focused on specifying procedures that control the false discovery rate (FDR), with relatively less attention being paid to the corresponding Type II error known as the false non-discovery rate…

Statistics Theory · Mathematics 2020-05-11 Max Rabinovich , Michael I. Jordan , Martin J. Wainwright

In this article, we investigate the asymptotic properties of Bayesian multiple testing procedures under general dependent setup, when the sample size and the number of hypotheses both tend to infinity. Specifically, we investigate strong…

Statistics Theory · Mathematics 2020-05-14 Noirrit Kiran Chandra , Sourabh Bhattacharya

For nonparametric inference about a function, multiscale testing procedures resolve the need for bandwidth selection and achieve asymptotically optimal detection performance against a broad range of alternatives. However, critical values…

Statistics Theory · Mathematics 2025-06-06 Johann Köhne , Fabian Mies
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