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Large SVARs

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Abstract

We develop a new algorithm for inference in structural vector autoregressions (SVARs) identified with sign restrictions that can accommodate big data and modern identification schemes. The key innovation of our approach is to move beyond the traditional accept-reject framework commonly used in sign-identified SVARs. We show that embedding the elliptical slice sampling within a Gibbs sampler can deliver dramatic gains in computational speed and render previously infeasible applications tractable. To illustrate the approach in the context of sign-identified SVARs, we use a tractable example. We further assess the performance of our algorithm through two applications: a well-known small-SVAR model of the oil market featuring a tight identified set, and a large SVAR model with more than ten shocks and 100 sign restrictions.

Suggested Citation

  • Jonas E. Arias & Juan F. Rubio-Ramirez & Minchul Shin, 2025. "Large SVARs," Working Papers 26-04, Federal Reserve Bank of Philadelphia.
    • Handle: RePEc:fip:fedpwp:102347
    DOI: 10.21799/frbp.wp.2026.04
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    References listed on IDEAS

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    5. Juan F. Rubio-Ramírez & Daniel F. Waggoner & Tao Zha, 2010. "Structural Vector Autoregressions: Theory of Identification and Algorithms for Inference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 665-696.
    6. Joshua Chan & Christian Matthes & Xuewen Yu, 2025. "Large Structural VARs with Multiple Sign and Ranking Restrictions," Papers 2503.20668, arXiv.org.
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    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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