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Large Structural VARs with Multiple Sign and Ranking Restrictions

Joshua Chan, Christian Matthes, Xuewen Yu

arXiv 26 Mar 2025 · Econometrics · publishedQuantitative Economics (2026) · 1 citations (OpenAlex)

arXiv:2503.20668 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Large VARs are increasingly used in structural analysis as a unified framework to study the impacts of multiple structural shocks simultaneously. However, the concurrent identification of multiple shocks using sign and ranking restrictions poses significant practical challenges to the point where existing algorithms cannot be used with such large VARs. To address this, we introduce a new numerically efficient algorithm that facilitates the estimation of impulse responses and related measures in large structural VARs identified with a large number of structural restrictions on impulse responses. The methodology is illustrated using a 35-variable VAR with over 100 sign and ranking restrictions to identify 8 structural shocks.

Citation extraction

34
references
91
in-text mentions
34
distinct cited
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10,736
main-text words

appendix boundary found by appendix_titled_section at “Appendix A: Proof of Proposition” · 87% 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
1Chan (2022) Asymmetric conjugate priors for large Bayesian VARs self1.00063100%
2Rubio-Ramirez, Waggoner, and Zha (2010) Structural vector autoregressions: Theory of identification and algorithms for inference0.96520490%
3Uhlig (2005) What are the effects of monetary policy on output? Results from an agnostic identification procedure0.96510490%
4Furlanetto, Ravazzolo, and Sarferaz (2019) Identification of financial factors in economic fluctuations0.92843100%
5Read (2022) Algorithms for inference in SVARs identified with sign and zero restrictions0.9209478%
6Amir-Ahmadi and Drautzburg (2021) Identification and inference with ranking restrictions0.81142100%
7Crump, Eusepi, Giannone, Qian, and Sbordone (2021) A large Bayesian VAR of the United States economy0.81142100%
8Baumeister and Hamilton (2015) Sign restrictions, structural vector autoregressions, and useful prior information0.64422100%
9Bruns and Piffer (2023) A new posterior sampler for Bayesian structural vector autoregressive models0.64422100%
10Canova and Nicolo (2002) Monetary disturbances matter for business fluctuations in the G-70.64422100%

Showing the top 10 of 34 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 restrictions0.69351
2Structural Analysis of Vector Autoregressive Models0.40511
3A Nonparametric Approach to Augmenting a Bayesian VAR with Nonlinear Factors0.40511