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Time-varying model averaging for Favar models with smooth structural changes

Bibliographic Data

ID19420158
AuthorsQitong Chen (0000-0002-8254-9886, Guangdong University of Foreign Studies), Yongmiao Hong (0000-0002-9711-9061, Center for Forecasting Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences), Haiqi Li (Hunan University, corresponding author), Xia Wang (0000-0002-5256-0611, Renmin University of China)
Year2026
Pages1-34
Publication date2026-05-18
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)
DOI10.1080/07350015.2026.2674157
OpenAlexW7161594946
LanguageEN
References cited58

Factor-augmented vector autoregressive (FAVAR) models serve as a powerful tool for forecasting economic and financial variables, particularly in environments with a large number of predictors. In this study, we propose a time-varying model-averaging method for FAVAR (TVMA-FAVAR) that accommodates smooth structural changes. To estimate the optimal time-varying combination weights, we develop a local leave-one-out cross-validation (LLOCV) criterion that is asymptotically unbiased for the local mean squared error (LMSE), as it excludes a term irrelevant to the weight vector. We establish the asymptotic optimality of the TVMA-FAVAR method by demonstrating that its LMSE attains an infeasible lower bound. In addition, we derive the convergence rates of the selected weights and the TVMA-FAVAR estimator. Monte Carlo simulations show that the proposed method outperforms existing popular model averaging and selection approaches. An empirical application to forecasting U.S. macroeconomic variables further illustrates the superior predictive performance of the TVMA-FAVAR method

Mathematical model · Control Systems and Identification · Financial Risk and Volatility Modeling · Statistical Methods and Inference

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