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Many tools exist to detect dependence between random variables, a core question across a wide range of machine learning, statistical, and scientific endeavors. Although several statistical tests guarantee eventual detection of any…

Machine Learning · Statistics 2026-03-23 Nathaniel Xu , Feng Liu , Danica J. Sutherland

In this paper, we develop invariance-based procedures for testing and inference in high-dimensional regression models. These procedures, also known as randomization tests, provide several important advantages. First, for the global null…

Methodology · Statistics 2023-12-27 Wenxuan Guo , Panos Toulis

This paper proposes a new robust smooth-threshold estimating equation to select important variables and automatically estimate parameters for high dimensional longitudinal data. A novel working correlation matrix is proposed to capture…

Methodology · Statistics 2021-11-30 Liya Fu , Jiaqi Li , You-Gan Wang

We develop theoretical finite-sample results concerning the size of wild bootstrap-based heteroskedasticity robust tests in linear regression models. In particular, these results provide an efficient diagnostic check, which can be used to…

Statistics Theory · Mathematics 2023-08-17 Benedikt M. Pötscher , David Preinerstorfer

This paper studies the testability of identifying restrictions commonly employed to assign a causal interpretation to two stage least squares (TSLS) estimators based on Bartik instruments. For homogeneous effects models applied to short…

Econometrics · Economics 2024-04-29 Jinyong Hahn , Guido Kuersteiner , Andres Santos , Wavid Willigrod

The linear instrumental variable (IV) model is widely used in observational studies, yet its validity hinges on strong assumptions. Classical specification tests such as the Sargan-Hansen J test are limited to overidentified settings and…

Methodology · Statistics 2026-04-21 Cyrill Scheidegger , Malte Londschien , Peter Bühlmann

We propose a methodology for testing linear hypothesis in high-dimensional linear models. The proposed test does not impose any restriction on the size of the model, i.e. model sparsity or the loading vector representing the hypothesis.…

Methodology · Statistics 2019-07-09 Yinchu Zhu , Jelena Bradic

We propose a novel technique to boost the power of testing a high-dimensional vector $H:\btheta=0$ against sparse alternatives where the null hypothesis is violated only by a couple of components. Existing tests based on quadratic forms…

Methodology · Statistics 2014-08-19 Jianqing Fan , Yuan Liao , Jiawei Yao

The statistical analysis of discrete data has been the subject of extensive statistical research dating back to the work of Pearson. In this survey we review some recently developed methods for testing hypotheses about high-dimensional…

Machine Learning · Statistics 2017-12-19 Sivaraman Balakrishnan , Larry Wasserman

This work is motivated by learning the individualized minimal clinically important difference, a vital concept to assess clinical importance in various biomedical studies. We formulate the scientific question into a high-dimensional…

Methodology · Statistics 2023-03-28 Huijie Feng , Jingyi Duan , Yang Ning , Jiwei Zhao

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

Methodology · Statistics 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm

Permutation testing in linear models, where the number of nuisance coefficients is smaller than the sample size, is a well-studied topic. The common approach of such tests is to permute residuals after regressing on the nuisance covariates.…

Methodology · Statistics 2020-10-09 Jesse Hemerik , Magne Thoresen , Livio Finos

This paper proposes a new method for estimating high-dimensional binary choice models. We consider a semiparametric model that places no distributional assumptions on the error term, allows for heteroskedastic errors, and permits endogenous…

Econometrics · Economics 2025-07-15 Fu Ouyang , Thomas Tao Yang

We consider a data-driven robust hypothesis test where the optimal test will minimize the worst-case performance regarding distributions that are close to the empirical distributions with respect to the Wasserstein distance. This leads to a…

Statistics Theory · Mathematics 2021-06-01 Liyan Xie , Rui Gao , Yao Xie

This paper proposes a new test for a change point in the mean of high-dimensional data based on the spatial sign and self-normalization. The test is easy to implement with no tuning parameters, robust to heavy-tailedness and theoretically…

Methodology · Statistics 2022-06-07 Feiyu Jiang , Runmin Wang , Xiaofeng Shao

An important issue for many economic experiments is how the experimenter can ensure sufficient power for rejecting one or more hypotheses. Here, we apply methods developed mainly within the area of clinical trials for testing multiple…

Methodology · Statistics 2021-08-06 Sebastian Jobjörnsson , Henning Schaak , Oliver Mußhoff , Tim Friede

In this paper we propose a new test of heteroscedasticity for parametric regression models and partial linear regression models in high dimensional settings. When the dimension of covariates is large, existing tests of heteroscedasticity…

Methodology · Statistics 2018-08-09 Falong Tan , Xuejun Jiang , Xu Guo , Lixing Zhu

Large-scale multiple testing under static factor models is widely used to detect sparse signals in high-dimensional data. However, static factor models are arguably too stringent because they ignore serial correlation, which seriously…

Statistics Theory · Mathematics 2025-04-04 Xinxin Yang , Lilun Du

Robust tests of general composite hypothesis under non-identically distributed observations is always a challenge. Ghosh and Basu (2018, Statistica Sinica, 28, 1133--1155) have proposed a new class of test statistics for such problems based…

Statistics Theory · Mathematics 2019-01-08 Abhik Ghosh , Ayanendranath Basu

Although much progress has been made in classification with high-dimensional features \citep{Fan_Fan:2008, JGuo:2010, CaiSun:2014, PRXu:2014}, classification with ultrahigh-dimensional features, wherein the features much outnumber the…

Machine Learning · Statistics 2016-11-14 Yanming Li , Hyokyoung Hong , Jian Kang , Kevin He , Ji Zhu , Yi Li
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