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Fast and order‐invariant inference in Bayesian VARs with nonparametric shocks

Bibliographic Data

ID21653285
AuthorsFlorian Huber (0000-0002-2896-7921, Department of Economics University of Salzburg Salzburg Austria, corresponding author), Gary Koop (0000-0002-6091-378X, Department of Economics University of Strathclyde Glasgow UK)
Year2024
Volume39
Issue7
Pages1301-1320
Publication date2024-11-01
Open AccessYes
TypeARTICLE
VenueJournal of Applied Econometrics (JOURNAL)
Journal identifiersISSN: 1099-1255 • E-ISSN: 0883-7252
PublisherWiley (PUBLISHER • GB)
DOI10.1002/jae.3087
OpenAlexW4401398685
LanguageEN
References cited29

The shocks that hit macroeconomic models such as Vector Autoregressions (VARs) have the potential to be non‐Gaussian, exhibiting asymmetries and fat tails. This consideration motivates the VAR developed in this paper that uses a Dirichlet process mixture (DPM) to model the reduced‐form shocks. However, we do not follow the obvious strategy of simply modeling the VAR errors with a DPM as this would lead to computationally infeasible Bayesian inference in larger VARs and potentially a sensitivity to the way the variables are ordered in the VAR. Instead, we develop a particular additive error structure inspired by Bayesian nonparametric treatments of random effects in panel data models. We show that this leads to a model that allows for computationally fast and order‐invariant inference in large VARs with nonparametric shocks. Our empirical results with nonparametric VARs of various dimensions show that nonparametric treatment of the VAR errors often improves forecast accuracy and can be used to analyze the changing transmission of US monetary policy

Bayesian inference · Bayesian probability · Bayesian vector autoregression · Econometrics · Economics · Inference · Nonparametric statistics · Statistics · Bayesian Methods and Mixture Models · Computer Science · Fault Detection and Control Systems · Machine Fault Diagnosis Techniques · Mathematics · Artificial Intelligence

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