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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…

Econometrics · Economics 2021-03-11 Zhaoyuan Li , Jianfeng Yao

This paper develops a consistent series-based specification test for semiparametric panel data models with fixed effects. The test statistic resembles the Lagrange Multiplier (LM) test statistic in parametric models and is based on a…

Econometrics · Economics 2019-09-13 Ivan Korolev

The presence of outlying observations may adversely affect statistical testing procedures that result in unstable test statistics and unreliable inferences depending on the distortion in parameter estimates. In spite of the fact that the…

Methodology · Statistics 2021-04-19 Beste Hamiye Beyaztas , Soutir Bandyopadhyay , Abhijit Mandal

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…

Methodology · Statistics 2023-09-18 Hongfei Wang , Binghui Liu , Long Feng , Yanyuan Ma

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…

Statistics Theory · Mathematics 2020-07-09 Long Feng , Tiefeng Jiang , Binghui Liu , Wei Xiong

In this paper we consider a Lagrange Multiplier-type test (LM) to detect change in the mean of time series with heteroskedasticity of unknown form. We derive the limiting distribution under the null, and prove the consistency of the test…

Methodology · Statistics 2011-03-02 Mohamed Boutahar

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.…

Methodology · Statistics 2026-05-07 Charl Pretorius , Heinrich Roodt

This paper presents robust inference methods for general linear hypotheses in linear panel data models with latent group structure in the coefficients. We employ a selective conditional inference approach, deriving the conditional…

Econometrics · Economics 2025-11-25 Oguzhan Akgun , Ryo Okui

Functional panels are collections of functional time series, and arise often in the study of high frequency multivariate data. We develop a portmanteau style test to determine if the cross-sections of such a panel are independent and…

Methodology · Statistics 2016-07-12 Piotr Kokoszka , Matthew Reimherr , Nikolas Wölfing

Maximum Likelihood (ML) offers attractive alternatives to Generalized Method of Moments (GMM) estimators for dynamic panel data models. However, to date no identification-robust inference methods exist that can be used in conjunction with…

Econometrics · Economics 2025-12-16 Hugo Kruiniger

In this paper new tests for the independence of two high-dimensional vectors are investigated. We consider the case where the dimension of the vectors increases with the sample size and propose multivariate analysis of variance-type…

Statistics Theory · Mathematics 2023-04-19 Taras Bodnar , Holger Dette , Nestor Parolya

We investigate the significance of change-points within fully nonparametric regression contexts, with a particular focus on panel data where data generation processes vary across units, and error terms may display complex dependency…

Econometrics · Economics 2025-01-07 Likai Chen , Georg Keilbar , Liangjun Su , Weining Wang

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…

Methodology · Statistics 2022-05-12 Long Feng , Tiefeng Jiang , Xiaoyun Li , Binghui Liu

In Econometrics, the Breusch-Pagan test-statistic has become an iconic application of the Lagrange multipliers (LM) test. We shall introduce beta-score LM tests for heteroscedasticity in linear regression models, which trades-off the degree…

Statistics Theory · Mathematics 2023-01-19 Nirian Martin

This paper revisits the identification and estimation of a class of semiparametric (distribution-free) panel data binary choice models with lagged dependent variables, exogenous covariates, and entity fixed effects. We provide a novel…

Econometrics · Economics 2024-08-26 Christopher R. Dobronyi , Fu Ouyang , Thomas Tao Yang

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

Statistics Theory · Mathematics 2017-07-25 Abhik Ghosh , Ayanendranath Basu

After variable selection, standard inferential procedures for regression parameters may not be uniformly valid; there is no finite-sample size at which a standard test is guaranteed to approximately attain its nominal size. This problem is…

Methodology · Statistics 2020-07-07 Oliver Dukes , Vahe Avagyan , Stijn Vansteelandt

We consider identification, inference and validation of linear panel data models when both factors and factor loadings are accounted for by a nonparametric function. This general specification encompasses rather popular models such as the…

Econometrics · Economics 2025-06-13 Juan M. Rodriguez-Poo , Alexandra Soberon , Stefan Sperlich

Modern high-throughput biomedical devices routinely produce data on a large scale, and the analysis of high-dimensional datasets has become commonplace in biomedical studies. However, given thousands or tens of thousands of measured…

Methodology · Statistics 2022-02-28 Vladimir Vutov , Thorsten Dickhaus

Panel data of our interest consist of a moderate or relatively large number of panels, while the panels contain a small number of observations. This paper establishes testing procedures to detect a possible common change in means of the…

Statistics Theory · Mathematics 2016-08-07 Barbora Peštová , Michal Pešta
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