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We study full Bayesian procedures for sparse linear regression when errors have a symmetric but otherwise unknown distribution. The unknown error distribution is endowed with a symmetrized Dirichlet process mixture of Gaussians. For the…

Statistics Theory · Mathematics 2019-03-26 Minwoo Chae , Lizhen Lin , David B. Dunson

In the context of multiple hypotheses testing, the proportion $\pi_0$ of true null hypotheses in the pool of hypotheses to test often plays a crucial role, although it is generally unknown a priori. A testing procedure using an implicit or…

Statistics Theory · Mathematics 2009-02-17 Gilles Blanchard , Etienne Roquain

This paper introduces the $f$-sensitivity model, a new sensitivity model that characterizes the violation of unconfoundedness in causal inference. It assumes the selection bias due to unmeasured confounding is bounded "on average"; compared…

Methodology · Statistics 2022-09-07 Ying Jin , Zhimei Ren , Zhengyuan Zhou

In clinical and epidemiological research doubly truncated data often appear. This is the case, for instance, when the data registry is formed by interval sampling. Double truncation generally induces a sampling bias on the target variable,…

Methodology · Statistics 2023-01-11 Jacobo de Uña-Álvarez

We study sequential multiple testing with independent data streams, where the goal is to identify an unknown subset of signals while controlling commonly used error metrics, including generalized familywise rates and false discovery and…

Statistics Theory · Mathematics 2026-03-06 Jingyu Liu , Yanglei Song

An important estimation problem that is closely related to large-scale multiple testing is that of estimating the null density and the proportion of nonnull effects. A few estimators have been introduced in the literature; however, several…

Statistics Theory · Mathematics 2010-01-12 T. Tony Cai , Jiashun Jin

We develop a new class of distribution--free multiple testing rules for false discovery rate (FDR) control under general dependence. A key element in our proposal is a symmetrized data aggregation (SDA) approach to incorporating the…

Methodology · Statistics 2021-05-27 Lilun Du , Xu Guo , Wenguang Sun , Changliang Zou

We consider the problem of testing a null hypothesis defined by equality and inequality constraints on a statistical parameter. Testing such hypotheses can be challenging because the number of relevant constraints may be on the same order…

Methodology · Statistics 2024-02-19 Nils Sturma , Mathias Drton , Dennis Leung

The use of weights provides an effective strategy to incorporate prior domain knowledge in large-scale inference. This paper studies weighted multiple testing in a decision-theoretic framework. We develop oracle and data-driven procedures…

Methodology · Statistics 2017-05-10 Pallavi Basu , T. Tony Cai , Kiranmoy Das , Wenguang Sun

Heteroskedasticity poses several methodological challenges in designing valid and powerful procedures for simultaneous testing of composite null hypotheses. In particular, the conventional practice of standardizing or re-scaling…

Methodology · Statistics 2025-09-04 Bowen Gang , Trambak Banerjee

Our approach to Mendelian Randomization (MR) analysis is designed to increase reproducibility of causal effect "discoveries" by: (i) using a Bayesian approach to inference; (ii) replacing the point null hypothesis with a region of practical…

Methodology · Statistics 2022-08-11 Linyi Zou , Teresa Fazia , Hui Guo , Carlo Berzuini

This paper presents a powerful methodology for flexible full-data nonparametric novelty detection that offers distribution-free false discovery rate (FDR) control guarantees. Building on the full conformal inference framework and the…

Methodology · Statistics 2026-04-21 Junu Lee , Ilia Popov , Zhimei Ren

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…

Methodology · Statistics 2016-11-11 Gavin Lynch , Wenge Guo , Sanat K. Sarkar , Helmut Finner

Pseudo-measurements are the dominant source of uncertainty in distribution system state estimation (DSSE), yet their distributional assumptions are treated as fixed inputs by existing uncertainty quantification methods. This paper…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Betül Mamudi , Jochen Stiasny , Jochen Cremer

We develop a systematic, omnibus approach to goodness-of-fit testing for parametric distributional models when the variable of interest is only partially observed due to censoring and/or truncation. In many such designs, tests based on the…

Methodology · Statistics 2026-02-10 Juan Carlos Escanciano , Jacobo de Uña-Álvarez

Histogram-based empirical Bayes methods developed for analyzing data for large numbers of genes, SNPs, or other biological features tend to have large biases when applied to data with a smaller number of features such as genes with…

Methodology · Statistics 2013-10-10 Marta Padilla , David R. Bickel

In this paper we propose a computationally efficient multiple hypothesis testing procedure for persistent homology. The computational efficiency of our procedure is based on the observation that one can empirically simulate a null…

Computational Geometry · Computer Science 2022-08-29 Mikael Vejdemo-Johansson , Sayan Mukherjee

Deep neural networks often fail when deployed in real-world contexts due to distribution shift, a critical barrier to building safe and reliable systems. An emerging approach to address this problem relies on \emph{disagreement discrepancy}…

Machine Learning · Computer Science 2025-12-08 Neil G. Marchant , Andrew C. Cullen , Feng Liu , Sarah M. Erfani

The estimation of functional networks through functional covariance and graphical models have recently attracted increasing attention in settings with high dimensional functional data, where the number of functional variables p is…

Statistics Theory · Mathematics 2024-09-05 Qin Fang , Qing Jiang , Xinghao Qiao

In the framework of semiparametric distribution regression, we consider the problem of comparing the conditional distribution functions corresponding to two samples. In contrast to testing for exact equality, we are interested in the (null)…

Econometrics · Economics 2025-06-12 Holger Dette , Kathrin Möllenhoff , Dominik Wied