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Predictive Density Combination Using a Tree-Based Synthesis Function

Tony Chernis, Niko Hauzenberger, Florian Huber, Gary Koop, James Mitchell

arXiv 21 Nov 2023 · Econometrics · 1 citations (OpenAlex)

arXiv:2311.12671 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Bayesian predictive synthesis (BPS) provides a method for combining multiple predictive distributions based on agent/expert opinion analysis theory and encompasses a range of existing density forecast pooling methods. The key ingredient in BPS is a “synthesis” function. This is typically specified parametrically as a dynamic linear regression. In this paper, we develop a nonparametric treatment of the synthesis function using regression trees. We show the advantages of our tree-based approach in two macroeconomic forecasting applications. The first uses density forecasts for GDP growth from the euro area's Survey of Professional Forecasters. The second combines density forecasts of US inflation produced by many regression models involving different predictors. Both applications demonstrate the benefits -- in terms of improved forecast accuracy and interpretability -- of modeling the synthesis function nonparametrically.

Citation extraction

59
references
107
in-text mentions
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distinct cited
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main-text words

appendix boundary found by appendix_titled_section at “Technical Appendix: Bayesian Inference” · 71% 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
1Diebold, Francis X., Minchul Shin, and Boyuan Zhang (2023) On the aggregation of probability assessments: Regularized mixtures of predictive densities for Eurozone inflation and real inte…1.00063100%
2McAlinn, Kenichiro and Mike West (2019) Dynamic Bayesian predictive synthesis in time series forecasting1.00063100%
3Aastveit, Knut Are, Jamie L. Cross, and Herman K. van Dijk (2023) Quantifying time-varying forecast uncertainty and risk for the real price of oil0.81142100%
4Chipman, Hugh A., Edward I. George, and Robert E. McCulloch (2010) BART: Bayesian additive regression trees0.79410350%
5Oelrich, Oscar, Mattias Villani, and Sebastian Ankargren (2023) Local prediction pools0.73732100%
6Chernis, Tony (2023) Combining large numbers of density predictions with Bayesian Predictive Synthesis self0.73732100%
7Giacomini, Raffaella and Barbara Rossi (2010) Forecast comparisons in unstable environments0.6445240%
8Diebold, Francis X and Roberto S Mariano (1995) Comparing predictive accuracy0.6444250%
9Hauzenberger, Niko, Florian Huber, Gary Koop, and Luca Onorante (2022) Fast and flexible Bayesian inference in time-varying parameter regression models self0.6443267%
10Aastveit, Knut Are, James Mitchell, Francesco Ravazzolo, and Herman… (2019) The evolution of forecast density combinations in economics self0.64422100%

Showing the top 10 of 59 scored citations.