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Large Hybrid Time-Varying Parameter VARs

Joshua C. C. Chan

arXiv 18 Jan 2022 · Econometrics · publishedJournal of Business and Economic Statistics (2022) · 26 citations (OpenAlex)

arXiv:2201.07303 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Time-varying parameter VARs with stochastic volatility are routinely used for structural analysis and forecasting in settings involving a few endogenous variables. Applying these models to high-dimensional datasets has proved to be challenging due to intensive computations and over-parameterization concerns. We develop an efficient Bayesian sparsification method for a class of models we call hybrid TVP-VARs--VARs with time-varying parameters in some equations but constant coefficients in others. Specifically, for each equation, the new method automatically decides whether the VAR coefficients and contemporaneous relations among variables are constant or time-varying. Using US datasets of various dimensions, we find evidence that the parameters in some, but not all, equations are time varying. The large hybrid TVP-VAR also forecasts better than many standard benchmarks.

Citation extraction

61
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appendix boundary found by appendix_titled_section at “Appendix A: Estimation Details” · 72% 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
1Carriero, Clark, and Marcellino (2019) Large Bayesian vector autoregressions with stochastic volatility and non-conjugate priors1.00093100%
2Cogley and Sargent (2005) Drifts and volatilities: Monetary policies and outcomes in the post WWII US1.00084100%
3Carriero, Clark, and Marcellino (2015) Bayesian VARs: Specification choices and forecast accuracy1.00053100%
4Primiceri (2005) Time varying structural vector autoregressions and monetary policy0.98727596%
5Chan (2021) Minnesota-type adaptive hierarchical priors for large Bayesian VARs self0.8434375%
6Frühwirth-Schnatter and Wagner (2010) Stochastic model specification search for Gaussian and partial non-Gaussian state space models0.84333100%
7Diebold and Mariano (1995) Comparing predictive accuracy0.7817271%
8Arias, Rubio-Ramirez, and Shin (2021) Macroeconomic forecasting and variable ordering in multivariate stochastic volatility models0.7374275%
9Chan and Jeliazkov (2009) Efficient simulation and integrated likelihood estimation in state space models self0.7373367%
10D'Agostino, Gambetti, and Giannone (2013) Macroeconomic forecasting and structural change0.73732100%

Showing the top 10 of 61 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
1Efficient variational approximations for state space models0.40511
2BVARs and Stochastic Volatility0.40511
3Bayesian Nonlinear Regression using Sums of Simple Functions0.40511
4Large Bayesian Tensor VARs with Stochastic Volatility0.40511
5Bayesian Shrinkage in High-Dimensional VAR Models: A Comparative Study0.40511
6Learning 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