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We propose a novel continuous testing framework to test the intensities of Poisson Processes. This framework allows a rigorous definition of the complete testing procedure, from an infinite number of hypothesis to joint error rates. Our…

Methodology · Statistics 2017-05-25 Franck Picard , Patricia Reynaud-Bouret , Etienne Roquain

Heterogeneity is a hallmark of many complex diseases. There are multiple ways of defining heterogeneity, among which the heterogeneity in genetic regulations, for example GEs (gene expressions) by CNVs (copy number variations) and…

Methodology · Statistics 2022-12-01 Sanguo Zhang , Xiaonan Hu , Ziye Luo , Yu Jiang , Yifan Sun , Shuangge Ma

Statistical inference of heterogeneous treatment effects (HTEs) across predefined subgroups is challenging when units interact because treatment effects may vary by pre-treatment variables, post-treatment exposure variables (that measure…

Econometrics · Economics 2024-10-02 Julius Owusu

The studies of the Higgs boson couplings based on the recent and upcoming LHC data open up a new window on physics beyond the Standard Model. In this paper, we propose a statistical guide to the consistent treatment of the theoretical…

High Energy Physics - Phenomenology · Physics 2016-04-20 Sylvain Fichet , Grégory Moreau

Objective: We investigated the associations between risk of bias judgments from Cochrane reviews for sequence generation, allocation concealment and blinding and between-trial heterogeneity. Study Design and Setting: Bayesian hierarchical…

Applications · Statistics 2017-11-28 Kirsty Rhodes , Rebecca Turner , Jelena Savović , Hayley Jones , David Mawdsley , Julian Higgins

Treatment effect heterogeneity refers to the systematic variation in treatment effects across subgroups. There is an increasing need for clinical trials that aim to investigate treatment effect heterogeneity and estimate subgroup-specific…

Methodology · Statistics 2026-03-06 Xianglin Zhao , Shirin Golchi , Jean-Philippe Gouin , Kaberi Dasgupta

This paper is concerned with the problem of conditional independence testing for discrete data. In recent years, researchers have shed new light on this fundamental problem, emphasizing finite-sample optimality. The non-asymptotic viewpoint…

Statistics Theory · Mathematics 2023-10-31 Ilmun Kim , Matey Neykov , Sivaraman Balakrishnan , Larry Wasserman

A central problem of random matrix theory is to understand the eigenvalues of spiked random matrix models, in which a prominent eigenvector is planted into a random matrix. These distributions form natural statistical models for principal…

Statistics Theory · Mathematics 2016-12-26 Amelia Perry , Alexander S. Wein , Afonso S. Bandeira , Ankur Moitra

Hypothesis testing in high dimensional data is a notoriously difficult problem without direct access to competing models' likelihood functions. This paper argues that statistical divergences can be used to quantify the difference between…

Data Analysis, Statistics and Probability · Physics 2024-08-02 Jeremy J. H. Wilkinson , Christopher G. Lester

We address a phase estimation scheme using Gaussian states in the presence of non-Gaussian phase noise. At variance with previous analysis, we analyze situations in which the noise occurs before encoding phase information. In particular, we…

Quantum Physics · Physics 2020-12-17 Giacomo Carrara , Marco G. Genoni , Simone Cialdi , Matteo G. A. Paris , Stefano Olivares

In high-dimensional data analysis, regularization methods pursuing sparsity and/or low rank have received a lot of attention recently. To provide a proper amount of shrinkage, it is typical to use a grid search and a model comparison…

Methodology · Statistics 2019-01-01 Yiyuan She , Hoang Tran

A central problem of random matrix theory is to understand the eigenvalues of spiked random matrix models, introduced by Johnstone, in which a prominent eigenvector (or "spike") is planted into a random matrix. These distributions form…

Statistics Theory · Mathematics 2018-08-29 Amelia Perry , Alexander S. Wein , Afonso S. Bandeira , Ankur Moitra

This paper deals with the estimation of a high-dimensional covariance with a conditional sparsity structure and fast-diverging eigenvalues. By assuming sparse error covariance matrix in an approximate factor model, we allow for the presence…

Statistics Theory · Mathematics 2013-01-15 Jianqing Fan , Yuan Liao , Martina Mincheva

Classic models of cell size control consider cells divide while reaching a threshold, e.g. size, age, or size extension. The molecular basis of the threshold involves multiple layers of regulation as well as gene noises. In this work, we…

Statistical Mechanics · Physics 2022-04-28 Liang Luo , Yang Bai , Xiongfei Fu

We analyze control of the familywise error rate (FWER) in a multiple testing scenario with a great many null hypotheses about the distribution of a high-dimensional random variable among which only a very small fraction are false, or…

Methodology · Statistics 2015-09-15 Kamel Lahouel , Donald Geman , Laurent Younes

We propose a new statistic that has been designed to be used in situations where the intrinsic dispersion of a data set is not well known: The Crossing Statistic. This statistic is in general less sensitive than `chi^2' to the intrinsic…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-22 Arman Shafieloo , Timothy Clifton , Pedro G. Ferreira

The issue addressed in this paper is that of testing for common breaks across or within equations of a multivariate system. Our framework is very general and allows integrated regressors and trends as well as stationary regressors. The null…

Statistics Theory · Mathematics 2018-01-12 Tatsushi Oka , Pierre Perron

We theoretically study semi-supervised clustering in sparse graphs in the presence of pairwise constraints on the cluster assignments of nodes. We focus on bi-cluster graphs, and study the impact of semi-supervision for varying constraint…

Data Analysis, Statistics and Probability · Physics 2011-11-01 Greg Ver Steeg , Aram Galstyan , Armen E. Allahverdyan

In a variety of application areas, there is a growing interest in analyzing high dimensional sparse count data, with sparsity exhibited by an over-abundance of zeros and small non-zero counts. Existing approaches for analyzing multivariate…

Methodology · Statistics 2016-04-15 Jyotishka Datta , David B. Dunson

Recent results concerning asymptotic Bayes-optimality under sparsity (ABOS) of multiple testing procedures are extended to fairly generally distributed effect sizes under the alternative. An asymptotic framework is considered where both the…

Statistics Theory · Mathematics 2011-07-13 Florian Frommlet , Arijit Chakrabarti , Magdalena Murawska , Malgorzata Bogdan