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Negative binomial (NB) regression is a popular method for identifying differentially expressed genes in genomics data, such as bulk and single-cell RNA sequencing data. However, NB regression makes stringent parametric and asymptotic…

统计方法学 · 统计学 2025-01-08 Timothy Barry , Ziang Niu , Eugene Katsevich , Xihong Lin

We initiate the study of property testing problems concerning relations between permutations. In such problems, the input is a tuple $(\sigma_1,\dotsc,\sigma_d)$ of permutations on $\{1,\dotsc,n\}$, and one wishes to determine whether this…

数据结构与算法 · 计算机科学 2024-07-11 Oren Becker , Alexander Lubotzky , Jonathan Mosheiff

The statistics and machine learning communities have recently seen a growing interest in classification-based approaches to two-sample testing. The outcome of a classification-based two-sample test remains a rejection decision, which is not…

统计理论 · 数学 2022-11-15 Loris Michel , Jeffrey Näf , Nicolai Meinshausen

Conformal inference is a fundamental and versatile tool that provides distribution-free guarantees for many machine learning tasks. We consider the transductive setting, where decisions are made on a test sample of $m$ new points, giving…

统计方法学 · 统计学 2024-03-20 Ulysse Gazin , Gilles Blanchard , Etienne Roquain

We study a statistical framework for replicability based on a recently proposed quantitative measure of replication success, the sceptical $p$-value. A recalibration is proposed to obtain exact overall Type-I error control if the effect is…

统计方法学 · 统计学 2023-11-10 Charlotte Micheloud , Fadoua Balabdaoui , Leonhard Held

This paper introduces an open-ended sequential algorithm for computing the p-value of a test using Monte Carlo simulation. It guarantees that the resampling risk, the probability of a different decision than the one based on the theoretical…

统计理论 · 数学 2013-07-30 Axel Gandy

In many causal inference problems, multiple action variables, such as factors, mediators, or network units, often share a common causal role yet lack a natural ordering. To avoid ambiguity, the scientific interpretation of a vector of…

统计方法学 · 统计学 2026-01-26 Jiaqi Tong , Fan Li

We study a linear observation model with an unknown permutation called \textit{permuted/shuffled linear regression}, where responses and covariates are mismatched and the permutation forms a discrete, factorial-size parameter. The…

统计理论 · 数学 2026-01-23 Hirofumi Ota , Masaaki Imaizumi

Given well-shuffled data, can we determine whether the data items are statistically (in)dependent? Formally, we consider the problem of testing whether a set of exchangeable random variables are independent. We will show that this is…

统计理论 · 数学 2022-10-25 Marcus Hutter

Several scientific fields including psychology are undergoing a replication crisis. There are many reasons for this problem, one of which is a misuse of p-values. There are several alternatives to p-values, and in this paper we describe a…

统计方法学 · 统计学 2020-10-05 Brian D. Segal

In this work, we introduce statistical testing under distributional shifts. We are interested in the hypothesis $P^* \in H_0$ for a target distribution $P^*$, but observe data from a different distribution $Q^*$. We assume that $P^*$ is…

统计方法学 · 统计学 2022-05-03 Nikolaj Thams , Sorawit Saengkyongam , Niklas Pfister , Jonas Peters

Expectation Propagation (EP) is a widely used message-passing algorithm that decomposes a global inference problem into multiple local ones. It approximates marginal distributions (beliefs) using intermediate functions (messages). While…

信息论 · 计算机科学 2026-01-30 Zilu Zhao , Fangqing Xiao , Dirk Slock

Linear regression is a frequently used tool in statistics, however, its validity and interpretability relies on strong model assumptions. While robust estimates of the coefficients' covariance extend the validity of hypothesis tests and…

统计方法学 · 统计学 2015-04-23 Werner Brannath , Martin Scharpenberg

We propose a new class of extreme-value copulas which are extreme-value limits of conditional normal models. Conditional normal models are generalizations of conditional independence models, where the dependence among observed variables is…

统计方法学 · 统计学 2021-02-16 Pavel Krupskii , Marc G. Genton

Considering voting rules based on evaluation inputs rather than preference rankings modifies the paradigm of probabilistic studies of voting procedures. This article proposes several simulation models for generating evaluation-based voting…

应用统计 · 统计学 2024-03-18 Antoine Rolland , Jean-Baptiste Aubin , Irène Gannaz , Samuela Leoni

Selective inference is a subfield of statistics that enables valid inference after selection of a data-dependent question. In this paper, we introduce selectively dominant p-values, a class of p-values that allow practitioners to easily…

统计方法学 · 统计学 2024-11-22 Anav Sood

When evaluating the performance of a model for individualised risk prediction, the sample size needs to be large enough to precisely estimate the performance measures of interest. Current sample size guidance is based on precisely…

A randomized trial and an analysis of observational data designed to emulate the trial sample observations separately, but have the same eligibility criteria, collect information on some shared baseline covariates, and compare the effects…

统计方法学 · 统计学 2022-03-29 Issa J. Dahabreh , Jon A. Steingrimsson , James M. Robins , Miguel A. Hernán

In this article, we propose a new class of consistent tests for $p$-variate normality. These tests are based on the characterization of the standard multivariate normal distribution, that the Hessian of the corresponding cumulant generating…

统计方法学 · 统计学 2023-03-22 Kwun Chuen Gary Chan , Hok Kan Ling , Chuan-Fa Tang , Sheung Chi Phillip Yam

Starting from the characterization of extreme-value copulas based on max-stability, large-sample tests of extreme-value dependence for multivariate copulas are studied. The two key ingredients of the proposed tests are the empirical copula…

统计方法学 · 统计学 2011-05-12 Ivan Kojadinovic , Johan Segers , Jun Yan