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New Tests of Equal Forecast Accuracy for Factor-Augmented Regressions with Weaker Loadings

Luca Margaritella, Ovidijus Stauskas

arXiv 30 Sep 2024 · Econometrics

arXiv:2409.20415 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We provide the theoretical foundation for the recent tests of equal forecast accuracy and encompassing by Pitarakis (2023) and Pitarakis (2025), when the competing forecast specification is that of a factor-augmented regression model. This should be of interest for practitioners, as there is no theory justifying the use of these simple and powerful tests in such context. In pursuit of this, we employ a novel theory to incorporate the empirically well-documented fact of homogeneously/heterogeneously weak factor loadings, and track their effect on the forecast comparison problem.

Citation extraction

45
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230
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distinct cited
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main-text words

appendix boundary found by appendix_command · 23% 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
1Clark, T. E. & McCracken, M. W (2001) Tests of equal forecast accuracy and encompassing for nested models0.9416383%
2Pitarakis, J.-Y (2023) Direct multi-step forecast based comparison of nested models via an encompassing test0.916261077%
3Bai, J. & Ng, S (2002) Determining the number of factors in approximate factor models0.89414671%
4Uematsu, Y. & Yamagata, T (2022) Inference in sparsity-induced weak factor models0.87452100%
5Pitarakis, J.-Y (2025) A novel approach to predictive accuracy testing in nested environments0.843351060%
6Stauskas, O. & Westerlund, J (2022) Tests of equal forecasting accuracy for nested models with estimated cce factors self0.84310660%
7Goncalves, S., McCracken, M. W., & Perron, B (2017) Tests of equal accuracy for nested models with estimated factors0.81931555%
8Bai, J. & Ng, S (2023) Approximate factor models with weaker loadings0.76649745%
9Hansen, B. E (1992) Convergence to stochastic integrals for dependent heterogeneous processes0.7374350%
10Bai, J. & Ng, S (2006) Confidence intervals for diffusion index forecasts and inference for factor-augmented regressions0.73732100%

Showing the top 10 of 45 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Robust Tests for Factor-Augmented Regressions with an Application to the Novel EA-MD-QD Dataset0.965105