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Bayesian Modeling of TVP-VARs Using Regression Trees

Niko Hauzenberger, Florian Huber, Gary Koop, James Mitchell

arXiv 24 Sep 2022 · Econometrics

arXiv:2209.11970 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In light of widespread evidence of parameter instability in macroeconomic models, many time-varying parameter (TVP) models have been proposed. This paper proposes a nonparametric TVP-VAR model using Bayesian additive regression trees (BART) that models the TVPs as an unknown function of effect modifiers. The novelty of this model arises from the fact that the law of motion driving the parameters is treated nonparametrically. This leads to great flexibility in the nature and extent of parameter change, both in the conditional mean and in the conditional variance. Parsimony is achieved through adopting nonparametric factor structures and use of shrinkage priors. In an application to US macroeconomic data, we illustrate the use of our model in tracking both the evolving nature of the Phillips curve and how the effects of business cycle shocks on inflation measures vary nonlinearly with changes in the effect modifiers.

Citation extraction

63
references
117
in-text mentions
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distinct cited
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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
1Chan et al (2022) Large Bayesian VARs with factor stochastic volatility: Identification, order invariance and structural analysis1.00083100%
2Chipman et al (2010) BART: Bayesian additive regression trees1.00083100%
3Deshpande et al (2020) VCBART: Bayesian trees for varying coefficients0.92843100%
4Korobilis (2022) A new algorithm for structural restrictions in Bayesian vector autoregressions0.92843100%
5Coulombe (2020) The macroeconomy as a random forest0.87452100%
6Chan et al (2020) Reducing the state space dimension in a large TVP-VAR0.7373367%
7Hauzenberger et al (2022) Fast and flexible Bayesian inference in time-varying parameter regression models0.7373367%
8Jurado et al (2015) Measuring uncertainty0.7373367%
9Primiceri (2005) Time varying structural autoregressions and monetary policy0.7373367%
10Del Negro et al (2020) What's up with the Phillips Curve?0.69361100%

Showing the top 10 of 63 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
1Large structural VARs with multiple linear shock and impact inequality restrictions0.40511
2Learning from crises: A new class of time-varying parameter VARs with observable adaptation\@thefnmark\@footnotetext Correspondence: Dimitris Korobilis, Professor of Econometrics, Adam Smith Business School, 2 Discovery Place, Glasgow, G11 6EY, United Kingdom0.40511