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Variable Selection Based Testing for Parameter Changes in Regression with Autoregressive Dependence

Bibliographic Data

ID19418619
AuthorsLajos Horváth (0000-0003-3558-7094, University of Utah), Piotr Kokoszka (0000-0001-9979-6536, Colorado State University, corresponding author), Shanglin Lu (0000-0003-0324-9971, University of International Business and Economics)
Year2024
Volume42
Issue4
Pages1331-1343
Publication date2024-10-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueJournal of Business and Economic Statistics (JOURNAL)
Journal identifiersISSN: 0735-0015 • E-ISSN: 1537-2707
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/07350015.2024.2310025
OpenAlexW4391169498
LanguageEN
References cited54

We consider a regression model with autoregressive terms and propose significance tests for the detection of change points in this model. Our tests are applicable to both low- or moderate dimension and to high-dimension with sparse regressors. The dimension may be high from the practical point of view of economic and business applications, but in our theoretical framework it is fixed. To accommodate practically high dimension, variable selection is incorporated as an integral part of our approach. The regressors and the errors can exhibit general nonlinear dependence and the model incorporates autoregressive dependence. We develop asymptotic justification and evaluate the performance of the tests both on simulated and real economic data. We test for and estimate changes in responses to risk factors of a U.S. energy stocks portfolio and the Industrial Production index. We relate our findings to macroeconomic policy changes and global impact events

Autoregressive model · Econometrics · Economics · Model selection · Portfolio · Regression · Statistics · Computer Science · Market Dynamics and Volatility · Mathematics · Monetary Policy and Economic Impact · Statistical Methods and Inference · Artificial Intelligence

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