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Testing cross-sectional independence in panel data models is of fundamental importance in econometric analysis with high-dimensional panels. Recently, econometricians began to turn their attention to the problem in the presence of serial…

统计方法学 · 统计学 2023-09-18 Hongfei Wang , Binghui Liu , Long Feng , Yanyuan Ma

For a set of dependent random variables, without stationary or the strong mixing assumptions, we derive the asymptotic independence between their sums and maxima. Then we apply this result to high-dimensional testing problems, where we…

统计方法学 · 统计学 2022-05-12 Long Feng , Tiefeng Jiang , Xiaoyun Li , Binghui Liu

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

We investigate one/two-sample mean tests for high-dimensional compositional data when the number of variables is comparable with the sample size, as commonly encountered in microbiome research. Existing methods mainly focus on max-type test…

统计理论 · 数学 2024-04-15 Qianqian Jiang , Wenbo Li , Zeng Li

We study global inference for regression coefficients in high-dimensional linear models under potentially heavy-tailed errors. While sum-type tests are powerful for dense alternatives and max-type tests excel for sparse alternatives,…

统计方法学 · 统计学 2026-03-17 Ping Zhao , Liangliang Yuan

Motivated by the likelihood ratio test under the Gaussian assumption, we develop a maximum sum-of-squares test for conducting hypothesis testing on high dimensional mean vector. The proposed test which incorporates the dependence among the…

统计方法学 · 统计学 2015-10-21 Xianyang Zhang

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

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

Accurate estimation for extent of cross{sectional dependence in large panel data analysis is paramount to further statistical analysis on the data under study. Grouping more data with weak relations (cross{sectional dependence) together…

计量经济学 · 经济学 2019-04-16 Jiti Gao , Guangming Pan , Yanrong Yang , Bo Zhang

This paper establishes the asymptotic independence between the quadratic form and maximum of a sequence of independent random variables. Based on this theoretical result, we find the asymptotic joint distribution for the quadratic form and…

统计方法学 · 统计学 2023-08-03 Dachuan Chen , Decai Liang , Long Feng

This paper revisits the Lagrange multiplier type test for the null hypothesis of no cross-sectional dependence in large panel data models. We propose a unified test procedure and its power enhancement version, which show robustness for a…

计量经济学 · 经济学 2023-03-01 Zhenhong Huang , Zhaoyuan Li , Jianfeng Yao

This paper investigates change-point of variance in panel data models with time series of $\alpha$-mixing. Based on the cumulative sum (CUSUM) method and the individual differences, we construct a CUSUM test for panel data models to detect…

统计方法学 · 统计学 2026-03-16 Wenzhi Yang , Yueting Xu , Xiaoping Shi , Qiong Li

New procedures for detecting a change in the cross-sectional mean of panel data are proposed. The procedures rely on estimating nuisance parameters using certain cross-sectional means across panels using a weighted least squares regression.…

统计方法学 · 统计学 2026-05-07 Charl Pretorius , Heinrich Roodt

High-dimensional changepoint inference, adaptable to diverse alternative scenarios, has attracted significant attention in recent years. In this paper, we propose an adaptive and robust approach to changepoint testing. Specifically, by…

统计方法学 · 统计学 2025-04-29 Jixuan Liu , Long Feng , Liuhua Peng , Zhaojun Wang

Testing mutual independence for high-dimensional observations is a fundamental statistical challenge. Popular tests based on linear and simple rank correlations are known to be incapable of detecting non-linear, non-monotone relationships,…

统计理论 · 数学 2020-02-06 Mathias Drton , Fang Han , Hongjian Shi

This paper reexamines the seminal Lagrange multiplier test for cross-section independence in a large panel model where both the number of cross-sectional units n and the number of time series observations T can be large. The first…

计量经济学 · 经济学 2021-03-11 Zhaoyuan Li , Jianfeng Yao

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

Testing independence among a number of (ultra) high-dimensional random samples is a fundamental and challenging problem. By arranging $n$ identically distributed $p$-dimensional random vectors into a $p \times n$ data matrix, we investigate…

统计理论 · 数学 2017-03-28 Xi Chen , Weidong Liu

This paper investigates the utilization of maximum and average distance correlations for multivariate independence testing. We characterize their consistency properties in high-dimensional settings with respect to the number of marginally…

机器学习 · 统计学 2025-06-11 Cencheng Shen , Yuexiao Dong

Statistical analysis of high-dimensional functional times series arises in various applications. Under this scenario, in addition to the intrinsic infinite-dimensionality of functional data, the number of functional variables can grow with…

统计理论 · 数学 2022-01-14 Qin Fang , Shaojun Guo , Xinghao Qiao
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