Template-Type: ReDIF-Paper 1.0 Author-Name: Niko Hauzenberger Author-Name-First: Niko Author-Name-Last: Hauzenberger Author-Workplace-Name: University of Salzburg Author-Name: Florian Huber Author-Name-First: Florian Author-Name-Last: Huber Author-Workplace-Name: University of Salzburg Author-Name: Gary Koop Author-Name-First: Gary Author-Name-Last: Koop Author-Workplace-Name: University of Strathclyde Author-Name: James Mitchell Author-Name-First: James Author-Name-Last: Mitchell Author-Workplace-Name: Federal Reserve Bank of Cleveland Title: Bayesian Modelling of TVP-VARs Using Regression Trees 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 modifi ers. 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 in inflation measures vary nonlinearly with changes in the effect modifiers. Length: pages Creation-Date: 2020-02 Revision-Date: 2023-08 Publication-Status: File-URL: https://www.strath.ac.uk/media/1newwebsite/departmentsubject/economics/research/researchdiscussionpapers/2023/23-08.pdf File-Format: Application/pdf Number: 2308 Classification-JEL: C11, C32, C51, E31, E32 Keywords: Bayesian vector autoregression; Time-varying parameters; Nonparametric modeling; Machine learning; Regression trees; Phillips curve; Business cycle shocks Handle: RePEc:str:wpaper:2308