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Learning from Forecast Errors: A New Approach to Forecast Combinations

Tae-Hwy Lee, Ekaterina Seregina

arXiv 4 Nov 2020 · Econometrics

arXiv:2011.02077 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Forecasters often use common information and hence make common mistakes. We propose a new approach, Factor Graphical Model (FGM), to forecast combinations that separates idiosyncratic forecast errors from the common errors. FGM exploits the factor structure of forecast errors and the sparsity of the precision matrix of the idiosyncratic errors. We prove the consistency of forecast combination weights and mean squared forecast error estimated using FGM, supporting the results with extensive simulations. Empirical applications to forecasting macroeconomic series shows that forecast combination using FGM outperforms combined forecasts using equal weights and graphical models without incorporating factor structure of forecast errors.

Citation extraction

34
references
62
in-text mentions
34
distinct cited
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12,403
main-text words

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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
1Callot, L., Caner, M., Önder, A. O., and Ulaşan, E (2019) A nodewise regression approach to estimating large portfolios1.00053100%
2Meinshausen, N. and Bühlmann, P (2006) High-dimensional graphs and variable selection with the Lasso0.92843100%
3Friedman, J., Hastie, T., and Tibshirani, R (2008) Sparse inverse covariance estimation with the Graphical Lasso0.87452100%
4Diebold, F. and Shin, M (2019) Machine learning for regularized survey forecast combination: Partially-egalitarian lasso and its derivatives0.73732100%
5Janková, J. and van de Geer, S (2018) Inference in high-dimensional graphical models0.73732100%
6Stock, J. H. and Watson, M. W (2002) Forecasting using principal components from a large number of predictors0.73732100%
7Koike, Y (2020) De-biased graphical lasso for high-frequency data0.73732100%
8Bai, J. and Ng, S (2002) Determining the number of factors in approximate factor models0.64422100%
9Barigozzi, M., Brownlees, C., and Lugosi, G (2018) Power-law partial correlation network models0.64422100%
10Brownlees, C., Nualart, E., and Sun, Y (2018) Realized networks0.64422100%

Showing the top 10 of 34 scored citations.