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Fast and Accurate Variational Inference for Large Bayesian VARs with Stochastic Volatility

Joshua C. C. Chan, Xuewen Yu

arXiv 16 Jun 2022 · Econometrics · publishedJournal of Economic Dynamics and Control (2022) · 13 citations (OpenAlex)

arXiv:2206.08438 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We propose a new variational approximation of the joint posterior distribution of the log-volatility in the context of large Bayesian VARs. In contrast to existing approaches that are based on local approximations, the new proposal provides a global approximation that takes into account the entire support of the joint distribution. In a Monte Carlo study we show that the new global approximation is over an order of magnitude more accurate than existing alternatives. We illustrate the proposed methodology with an application of a 96-variable VAR with stochastic volatility to measure global bank network connectedness.

Citation extraction

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appendix boundary found by appendix_titled_section at “Appendix A: Estimation Details” · 61% 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
1Cogley and Sargent (2005) Drifts and volatilities: Monetary policies and outcomes in the post WWII US0.92843100%
2Gefang, Koop, and Poon (2019) Variational Bayesian inference in large Vector Autoregressions with hierarchical shrinkage0.92843100%
3Koop and Korobilis (2018) Variational Bayes inference in high-dimensional time-varying parameter models0.92843100%
4Primiceri (2005) Time Varying Structural Vector Autoregressions and Monetary Policy0.84333100%
5Carriero, Clark, and Marcellino (2019) Large Bayesian vector autoregressions with stochastic volatility and non-conjugate priors0.73732100%
6Demirer, Diebold, Liu, and Yilmaz (2018) Estimating global bank network connectedness0.73732100%
7Arias, Rubio-Ramirez, and Shin (2021) Macroeconomic forecasting and variable ordering in multivariate stochastic volatility models0.64422100%
8Carriero, Clark, and Marcellino (2015) Bayesian VARs: Specification Choices and Forecast Accuracy0.64422100%
9Loaiza-Maya, Smith, Nott, and Danaher (2020) Fast and Accurate Variational Inference for Models with Many Latent Variables0.64422100%
10Diebold and Yilmaz (2014) On the network topology of variance decompositions: Measuring the connectedness of financial firms0.58531100%

Showing the top 10 of 55 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
1Smoothing volatility targeting1.00084
2Variational inference for large Bayesian vector autoregressions1.00073
3Variational Bayes in State Space Models: Inferential and Predictive Accuracy0.89475
4BVARs and Stochastic Volatility0.58531
5Forecasting: theory and practice0.40511
6Efficient variational approximations for state space models0.40511
7Bayesian Forecasting in Economics and Finance: A Modern Review0.40511
8Nonlinearities in Macroeconomic Tail Risk through the Lens of Big Data Quantile Regressions0.40511
9myblue Large Skew-t Copula Models and Asymmetric Dependence in Intraday Equity Returns0.40511