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Quantile prediction with factor-augmented regression: Structural instability and model uncertainty

Yundong Tu and Siwei Wang

Journal of Econometrics, 2025, vol. 249, issue PB

Abstract: The quantile regression is an effective tool in modeling data with heterogeneous conditional distribution. This paper considers the time-varying coefficient quantile predictive regression with factor-augmented predictors, to capture smooth structural changes and incorporate high-dimensional data information in prediction simultaneously. Uniform consistency of the local linear quantile coefficient estimators is established under misspecification. To further improve the forecast accuracy, a novel time-varying model averaging based on local forward-validation is developed. The averaging estimator is shown to be asymptotically optimal in the sense of minimizing out-of-sample forecast risk function. Furthermore, the weight selection consistency and the asymptotic distribution of the averaging coefficient estimator are established. Numerical results from simulations and a real data application to forecasting U.S. inflation demonstrate the nice performance of the averaging estimators.

Keywords: Factor model; Forward-validation; Local stationarity; Model misspecification; Time-varying parameters (search for similar items in EconPapers)
JEL-codes: C51 C52 C53 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:249:y:2025:i:pb:s0304407625000533

DOI: 10.1016/j.jeconom.2025.105999

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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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