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Rolling Window Selection in FAR Models with Structural Instabilities

Antoine A. Djogbenou

arXiv 8 Oct 2026 · Econometrics

arXiv:2610.12025 · PDF · Extracted main text

Abstract

The paper develops a theory for selecting the rolling window when generating out-of-sample forecasts with factor-augmented regression (FAR) models in the presence of structural instabilities. It shows how to select a rolling window by minimizing the conditional mean squared forecast error (MSFE) while accounting for uncertainty in factor estimation. Because the conditional MSFE is unobserved and the factors are latent, this paper proposes a feasible version of the criterion and derives conditions under which the new method is asymptotically loss-efficient. A simulation experiment documents the procedure's performance.

Citation extraction

28
references
71
in-text mentions
28
distinct cited
5
self-citations
7,359
main-text words

appendix boundary found by appendix_titled_section at “Appendix A: Proofs of Results” · 17% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Gon calves, S\'ilvia and Perron, Benoit Bootstrapping factor-augmented regression models0.92843100%
2Inoue, Atsushi and Jin, Lu and Rossi, Barbara (2017) Rolling window selection for out-of-sample forecasting with time-varying parameters0.85819563%
3Bai, Jushan (2003) Inferential Theory for Factor Models of Large Dimensions0.8558462%
4Bai, Jushan and Ng, Serena (2002) Determining the Number of Factors in Approximate Factor Models0.7948450%
5Bai, Jushan and Ng, Serena (2006) Confidence Intervals for Diffusion Index Forecasts and Inference for Factor-Augmented Regressions0.7946350%
6Gon calves, S\'ilvia and McCracken, Michael W. and Perron, Benoit Tests of equal accuracy for nested models with estimated factors0.7373367%
7Djogbenou, Antoine and Gon calves, S\'ilvia and Perron, Benoit (2015) Bootstrap Inference in Regressions with Estimated Factors and Serial Correlation self0.64422100%
8Knut Are Aastveit and Hilde C. Bjørnland and Leif Anders Thorsrud (2015) What Drives Oil Prices? Emerging Versus Developed Economies0.40511100%
9Bernanke, Ben S. and Boivin, Jean and Eliasz, Piotr (2005) Measuring the Effects of Monetary Policy: A Factor-Augmented Vector Autoregressive (FAVAR) Approach0.40511100%
10Breitung, Jorg and Eickmeier, Sandra (2011) Testing for structural breaks in dynamic factor models0.40511100%

Showing the top 10 of 28 scored citations.