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We develop a unified $L$-statistic testing framework for high-dimensional regression coefficients that adapts to unknown sparsity. The proposed statistics rank coordinate-wise evidence measures and aggregate the top $k$ signals, bridging…

应用统计 · 统计学 2026-02-10 Ping Zhao , Fengyi Song , Huifang Ma

In this paper, we study change-point testing for high-dimensional linear models, an important problem that has not been well explored in the literature. Specifically, we propose a quadratic-form cumulative sum (CUSUM) statistic to test the…

统计理论 · 数学 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang

This paper considers the estimation and inference of the low-rank components in high-dimensional matrix-variate factor models, where each dimension of the matrix-variates ($p \times q$) is comparable to or greater than the number of…

统计理论 · 数学 2022-10-20 Elynn Y. Chen , Jianqing Fan

In this study, we focus on applying L-statistics to the high-dimensional one-sample location test problem. Intuitively, an L-statistic with $k$ parameters tends to perform optimally when the sparsity level of the alternative hypothesis…

统计方法学 · 统计学 2024-10-21 Huifang Ma , Long Feng , Zhaojun Wang

In this paper, we address the problem of testing independence between two high-dimensional random vectors. Our approach involves a series of max-sum tests based on three well-known classes of rank-based correlations. These correlation…

统计方法学 · 统计学 2024-04-04 Hongfei Wang , Binghui Liu , Long Feng

Testing large covariance matrices is of fundamental importance in statistical analysis with high-dimensional data. In the past decade, three types of test statistics have been studied in the literature: quadratic form statistics, maximum…

统计理论 · 数学 2020-06-02 Xiufan Yu , Danning Li , Lingzhou Xue

Testing for multi-dimensional white noise is an important subject in statistical inference. Such test in the high-dimensional case becomes an open problem waiting to be solved, especially when the dimension of a time series is comparable to…

统计方法学 · 统计学 2022-11-08 Long Feng , Binghui Liu , Yanyuan Ma

Test of independence is of fundamental importance in modern data analysis, with broad applications in variable selection, graphical models, and causal inference. When the data is high dimensional and the potential dependence signal is…

统计方法学 · 统计学 2023-06-13 Zhanrui Cai , Jing Lei , Kathryn Roeder

In this study, we explore a robust testing procedure for the high-dimensional location parameters testing problem. Initially, we introduce a spatial-sign based max-type test statistic, which exhibits excellent performance for sparse…

统计方法学 · 统计学 2024-12-05 Jixuan Liu , Long Feng , Ping Zhao , Zhaojun Wang

This paper proposes a novel test method for high-dimensional mean testing regard for the temporal dependent data. Comparison to existing methods, we establish the asymptotic normality of the test statistic without relying on restrictive…

统计方法学 · 统计学 2025-12-01 Yuchen Hu , Xiaoyi Wang , Long Feng

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.…

统计方法学 · 统计学 2019-07-09 Yinchu Zhu , Jelena Bradic

The standard paired-sample testing approach in the multidimensional setting applies multiple univariate tests on the individual features, followed by p-value adjustments. Such an approach suffers when the data carry numerous features. A…

机器学习 · 统计学 2023-09-29 Ioannis Bargiotas , Argyris Kalogeratos , Nicolas Vayatis

This paper aims to develop an effective model-free inference procedure for high-dimensional data. We first reformulate the hypothesis testing problem via sufficient dimension reduction framework. With the aid of new reformulation, we…

统计方法学 · 统计学 2022-05-17 Xu Guo , Runze Li , Zhe Zhang , Changliang Zou

The asset pricing literature emphasizes factor models that minimize pricing errors but overlooks unselected candidate factors that could enhance the performance of test assets. This paper proposes a framework for factor model selection and…

计量经济学 · 经济学 2026-01-16 Guanhao Feng , Wei Lan , Hansheng Wang , Jun Zhang

We consider a testing problem for cross-sectional dependence for high-dimensional panel data, where the number of cross-sectional units is potentially much larger than the number of observations. The cross-sectional dependence is described…

统计理论 · 数学 2020-07-09 Long Feng , Tiefeng Jiang , Binghui Liu , Wei Xiong

We introduce a new method for two-sample testing of high-dimensional linear regression coefficients without assuming that those coefficients are individually estimable. The procedure works by first projecting the matrices of covariates and…

统计理论 · 数学 2023-05-11 Fengnan Gao , Tengyao Wang

In this paper, we develop a systematic theory for high dimensional analysis of variance in multivariate linear regression, where the dimension and the number of coefficients can both grow with the sample size. We propose a new \emph{U}~type…

统计方法学 · 统计学 2023-01-12 Zhipeng Lou , Xianyang Zhang , Wei Biao Wu

We consider statistical procedures for hypothesis testing of real valued functionals of matched pairs with missing values. In order to improve the accuracy of existing methods, we propose a novel multiplication combination procedure.…

统计理论 · 数学 2018-01-29 Lubna Amro , Frank Konietschke , Markus Pauly

We introduce a simple tool to control for false discoveries and identify individual signals in scenarios involving many tests, dependent test statistics, and potentially sparse signals. The tool applies the Cauchy combination test…

计量经济学 · 经济学 2023-06-02 Nabil Bouamara , Sébastien Laurent , Shuping Shi

We introduce a novel meta-analysis framework to combine dependent tests under a general setting, and utilize it to synthesize various microbiome association tests that are calculated from the same dataset. Our development builds upon the…

统计方法学 · 统计学 2024-04-16 Xiufan Yu , Linjun Zhang , Arun Srinivasan , Min-ge Xie , Lingzhou Xue