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A Structural Matrix Autoregression Framework for International Spillovers

Ignacio Moreira Lara, Jan Prüser, Christoph Hanck

arXiv 31 Jul 2026 · Econometrics

arXiv:2608.00262 · PDF · Extracted main text

Abstract

Understanding how macroeconomic shocks propagate across countries requires structural models that can jointly identify country-specific shocks and their international transmission. Yet extending structural vector autoregressions (SVARs) to large multi-country systems is challenging due to rapidly increasing dimensionality, computational costs, and the proliferation of identifying restrictions. This paper develops a Bayesian Structural Matrix Autoregression (BSMAR) framework that exploits the natural matrix structure of international macroeconomic data. By separating dependence across economic variables from dependence across countries, the framework provides a parsimonious representation that substantially reduces the dimensionality of large structural systems. We develop a Bayesian sampling algorithm for posterior inference that accommodates zero, sign, and ranking (magnitude) restrictions, allowing established SVAR identification schemes to be combined with a novel approach to identifying contemporaneous international spillovers. Applying the model to quarterly data for 15 economies, we find substantial heterogeneity in international shock transmission, with demand shocks playing a more prominent role than supply shocks in generating cross-country spillovers.

Citation extraction

36
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64
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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
1Giannone, Domenico, Primiceri, Giorgio E (2025) Demand-Driven Inflation0.87462100%
2Bergholt, Drago, Canova, Fabio, Furlanetto, Francesco, Maffei-Faccio… (2026) What Drives the Recent Surge in Inflation? The Historical Decomposition Roller Coaster0.73732100%
3Chen, Rong, Xiao, Han, Yang, Dan (2021) Autoregressive Models for Matrix-Valued Time Series0.73732100%
4Chang, Jui-Chuan Della, Jansen, Dennis W., Pagliacci, Carolina (2023) Inflation and Real GDP Growth in the U.S.–-Demand or Supply Driven?0.73732100%
5Chan, Joshua CC, Qi, Yaling (2026) Large Bayesian matrix autoregressions0.69371100%
6Read, Matthew, Zhu, Dan (2025) Fast Posterior Sampling in Tightly Identified SVARs Using `Soft' Sign Restrictions0.69361100%
7Kilian, Lutz, Lütkepohl, Helmut (2017) Structural vector autoregressive analysis0.64422100%
8Hou, Chenghan (2024) Large Bayesian SVARs with linear restrictions0.58531100%
9Samadi, S Yaser, Billard, Lynne (2025) On a matrix-valued autoregressive model0.58531100%
10Charnavoki, Valery, Dolado, Juan J (2014) The Effects of Global Shocks on Small Commodity-Exporting Economies: Lessons from Canada0.51121100%

Showing the top 10 of 36 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
1Impulse Response Inference for Matrix Autoregressions0.84333