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Review of Proxy Vector and Autoregressive Analysis

Author

Listed:
  • Martin Bruns

    (School of Economics, University of East Anglia)

  • Helmut Lütkepohl

    (DIW Berlin & FU Berlin)

Abstract

In structural vector autoregressive analysis it has become quite popular to identify some structural shocks of interest by external instruments or proxies. This study points out a range of areas where such proxies have been used and sketches the way the proxies have been constructed. It reviews identification and estimation methods that have been considered in this context. Moreover, it points out some features such as heteroskedasticity, nonfundamentalness of the shocks and violations of the standard assumptions for proxies that may result in complications.

Suggested Citation

  • Martin Bruns & Helmut Lütkepohl, 2026. "Review of Proxy Vector and Autoregressive Analysis," University of East Anglia School of Economics Working Paper Series 2026-01, School of Economics, University of East Anglia, Norwich, UK..
    • Handle: RePEc:uea:ueaeco:2026-01
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    References listed on IDEAS

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    1. Altavilla, Carlo & Brugnolini, Luca & Gürkaynak, Refet S. & Motto, Roberto & Ragusa, Giuseppe, 2019. "Measuring euro area monetary policy," Journal of Monetary Economics, Elsevier, vol. 108(C), pages 162-179.
    2. Boer, Lukas & Lütkepohl, Helmut, 2021. "Qualitative versus quantitative external information for proxy vector autoregressive analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
    3. Dufour, Jean-Marie & Pelletier, Denis & Renault, Eric, 2006. "Short run and long run causality in time series: inference," Journal of Econometrics, Elsevier, vol. 132(2), pages 337-362, June.
    4. Martin Bruns & Helmut Luetkepohl, 2023. "Have the Effects of Shocks to Oil Price Expectations Changed? Evidence from Heteroskedastic Proxy Vector Autoregressions," University of East Anglia School of Economics Working Paper Series 2023-03, School of Economics, University of East Anglia, Norwich, UK..
    5. Bahaj, Saleem, 2020. "Sovereign spreads in the Euro area: Cross border transmission and macroeconomic implications," Journal of Monetary Economics, Elsevier, vol. 110(C), pages 116-135.
    6. Atsushi Inoue & Lutz Kilian, 2026. "When Is the Use of Gaussian-Inverse Wishart-Haar Priors Appropriate?," Journal of Political Economy, University of Chicago Press, vol. 134(2), pages 773-794.
    7. Jonas E. Arias & Juan F. Rubio‐Ramírez & Daniel F. Waggoner, 2025. "Uniform Priors for Impulse Responses," Econometrica, Econometric Society, vol. 93(2), pages 695-718, March.
    8. Giovanni Angelini & Luca Fanelli, 2019. "Exogenous uncertainty and the identification of structural vector autoregressions with external instruments," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 34(6), pages 951-971, September.
    9. Marta Banbura & Domenico Giannone & Lucrezia Reichlin, 2010. "Large Bayesian vector auto regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(1), pages 71-92.
    10. Forni, Mario & Gambetti, Luca, 2014. "Sufficient information in structural VARs," Journal of Monetary Economics, Elsevier, vol. 66(C), pages 124-136.
    11. Gurkaynak, Refet S. & Sack, Brian T. & Swanson, Eric P., 2007. "Market-Based Measures of Monetary Policy Expectations," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 201-212, April.
    12. Dario Caldara & Christophe Kamps, 2017. "The Analytics of SVARs: A Unified Framework to Measure Fiscal Multipliers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(3), pages 1015-1040.
    13. Mario Forni & Alessandro Franconi & Luca Gambetti & Luca Sala, 2025. "Asymmetric transmission of oil supply news," Quantitative Economics, Econometric Society, vol. 16(3), pages 947-979, July.
    14. Bruns, Martin & Lütkepohl, Helmut, 2025. "Comparing external and internal instruments for vector autoregressions," Journal of Economic Dynamics and Control, Elsevier, vol. 177(C).
    15. Silvia Goncalves & Ana María Herrera & Lutz Kilian & Elena Pesavento, 2024. "Nonparametric Local Projections," Working Papers 2414, Federal Reserve Bank of Dallas.
    16. Bassett, William F. & Chosak, Mary Beth & Driscoll, John C. & Zakrajšek, Egon, 2014. "Changes in bank lending standards and the macroeconomy," Journal of Monetary Economics, Elsevier, vol. 62(C), pages 23-40.
    17. Carsten Jentsch & Kurt G. Lunsford, 2022. "Asymptotically Valid Bootstrap Inference for Proxy SVARs," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(4), pages 1876-1891, October.
    18. Urban Jermann & Vincenzo Quadrini, 2012. "Macroeconomic Effects of Financial Shocks," American Economic Review, American Economic Association, vol. 102(1), pages 238-271, February.
    19. Andrea Carriero & Haroon Mumtaz & Konstantinos Theodoridis & Angeliki Theophilopoulou, 2015. "The Impact of Uncertainty Shocks under Measurement Error: A Proxy SVAR Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(6), pages 1223-1238, September.
    20. Francesco Fusari & Joe Marlow & Alessio Volpicella, 2024. "Estimation and Inference of the Forecast Error Variance Decomposition for Set-Identified SVARs," School of Economics Discussion Papers 0424, School of Economics, University of Surrey.
    21. Giacomini, Raffaella & Kitagawa, Toru & Read, Matthew, 2022. "Robust Bayesian inference in proxy SVARs," Journal of Econometrics, Elsevier, vol. 228(1), pages 107-126.
    22. Bastianin, Andrea & Manera, Matteo, 2018. "How Does Stock Market Volatility React To Oil Price Shocks?," Macroeconomic Dynamics, Cambridge University Press, vol. 22(3), pages 666-682, April.
    23. Marek Jarociński & Peter Karadi, 2020. "Deconstructing Monetary Policy Surprises—The Role of Information Shocks," American Economic Journal: Macroeconomics, American Economic Association, vol. 12(2), pages 1-43, April.
    24. Dominik Bertsche & Robin Braun, 2022. "Identification of Structural Vector Autoregressions by Stochastic Volatility," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(1), pages 328-341, January.
    25. Sascha A. Keweloh & Mathias Klein & Jan Pruser, 2023. "Estimating Fiscal Multipliers by Combining Statistical Identification with Potentially Endogenous Proxies," Papers 2302.13066, arXiv.org, revised Aug 2025.
    26. Cesa-Bianchi, Ambrogio & Thwaites, Gregory & Vicondoa, Alejandro, 2020. "Monetary policy transmission in the United Kingdom: A high frequency identification approach," European Economic Review, Elsevier, vol. 123(C).
    27. repec:ulb:ulbeco:2013/13388 is not listed on IDEAS
    28. Nicholas Bloom, 2009. "The Impact of Uncertainty Shocks," Econometrica, Econometric Society, vol. 77(3), pages 623-685, May.
    29. Arias, Jonas E. & Rubio-Ramírez, Juan F. & Waggoner, Daniel F., 2021. "Inference in Bayesian Proxy-SVARs," Journal of Econometrics, Elsevier, vol. 225(1), pages 88-106.
    30. Angelini, Giovanni & Cavaliere, Giuseppe & Fanelli, Luca, 2024. "An identification and testing strategy for proxy-SVARs with weak proxies," Journal of Econometrics, Elsevier, vol. 238(2).
    31. James Cloyne, 2013. "Discretionary Tax Changes and the Macroeconomy: New Narrative Evidence from the United Kingdom," American Economic Review, American Economic Association, vol. 103(4), pages 1507-1528, June.
    32. Cevik, Serhan & Gwon, Gyowon, 2024. "This is going to hurt: Weather anomalies, supply chain pressures and inflation," International Economics, Elsevier, vol. 180(C).
    33. Eickmeier, Sandra & Quast, Josefine & Schüler, Yves, 2024. "Macroeconomic and Financial Effects of Natural Disasters," CEPR Discussion Papers 18940, C.E.P.R. Discussion Papers.
    34. Isaiah Andrews & James H. Stock & Liyang Sun, 2019. "Weak Instruments in Instrumental Variables Regression: Theory and Practice," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 727-753, August.
    35. JonasD.M. Fisher & Ryan Peters, 2010. "Using Stock Returns to Identify Government Spending Shocks," Economic Journal, Royal Economic Society, vol. 120(544), pages 414-436, May.
    36. Òscar Jordà, 2005. "Estimation and Inference of Impulse Responses by Local Projections," American Economic Review, American Economic Association, vol. 95(1), pages 161-182, March.
    37. Robin Braun & Ralf Brüggemann, 2023. "Identification of SVAR Models by Combining Sign Restrictions With External Instruments," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 41(4), pages 1077-1089, October.
    38. Martin Bruns & Michele Piffer, 2024. "Tractable Bayesian estimation of smooth transition vector autoregressive models," The Econometrics Journal, Royal Economic Society, vol. 27(3), pages 343-361.
    39. Braun, Robin & Miranda-Agrippino, Silvia & Saha, Tuli, 2025. "Measuring monetary policy in the UK: The UK monetary policy event-study database," Journal of Monetary Economics, Elsevier, vol. 149(C).
    40. James D. Hamilton, 2018. "Why You Should Never Use the Hodrick-Prescott Filter," The Review of Economics and Statistics, MIT Press, vol. 100(5), pages 831-843, December.
    41. Christiane Baumeister & James D. Hamilton, 2015. "Sign Restrictions, Structural Vector Autoregressions, and Useful Prior Information," Econometrica, Econometric Society, vol. 83(5), pages 1963-1999, September.
    42. Carriero, Andrea & Marcellino, Massimiliano & Tornese, Tommaso, 2024. "Blended identification in structural VARs," Journal of Monetary Economics, Elsevier, vol. 146(C).
    43. Kilian, Lutz, 2024. "How to construct monthly VAR proxies based on daily surprises in futures markets," Journal of Economic Dynamics and Control, Elsevier, vol. 168(C).
    44. Mark Gertler & Peter Karadi, 2015. "Monetary Policy Surprises, Credit Costs, and Economic Activity," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(1), pages 44-76, January.
    45. Ciccarelli, Matteo & Kuik, Friderike & Martínez Hernández, Catalina, 2024. "The asymmetric effects of temperature shocks on inflation in the largest euro area countries," European Economic Review, Elsevier, vol. 168(C).
    46. Bilal, Adrien & Känzig, Diego, 2024. "The Macroeconomic Impact of Climate Change: Global vs. Local Temperature," CEPR Discussion Papers 19203, C.E.P.R. Discussion Papers.
    47. Hou, Chenghan, 2024. "Large Bayesian SVARs with linear restrictions," Journal of Econometrics, Elsevier, vol. 244(1).
    48. Bruns, Martin & Lütkepohl, Helmut, 2024. "Heteroskedastic proxy vector autoregressions: An identification-robust test for time-varying impulse responses in the presence of multiple proxies," Journal of Economic Dynamics and Control, Elsevier, vol. 161(C).
    49. Carsten Jentsch & Kurt G. Lunsford, 2019. "The Dynamic Effects of Personal and Corporate Income Tax Changes in the United States: Comment," American Economic Review, American Economic Association, vol. 109(7), pages 2655-2678, July.
    50. Brüggemann, Ralf & Jentsch, Carsten & Trenkler, Carsten, 2016. "Inference in VARs with conditional heteroskedasticity of unknown form," Journal of Econometrics, Elsevier, vol. 191(1), pages 69-85.
    51. Jörg Breitung & Ralf Brüggemann, 2023. "Projection Estimators for Structural Impulse Responses," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 85(6), pages 1320-1340, December.
    52. Bruns, Martin & Lütkepohl, Helmut, 2022. "Comparison of local projection estimators for proxy vector autoregressions," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
    53. Lutz Kilian, 2008. "Exogenous Oil Supply Shocks: How Big Are They and How Much Do They Matter for the U.S. Economy?," The Review of Economics and Statistics, MIT Press, vol. 90(2), pages 216-240, May.
    54. Simon Gilchrist & Egon Zakrajsek, 2012. "Credit Spreads and Business Cycle Fluctuations," American Economic Review, American Economic Association, vol. 102(4), pages 1692-1720, June.
    55. Barakchian, S. Mahdi & Crowe, Christopher, 2013. "Monetary policy matters: Evidence from new shocks data," Journal of Monetary Economics, Elsevier, vol. 60(8), pages 950-966.
    56. Martin Bruns & Helmut Lütkepohl, 2023. "An Alternative Bootstrap for Proxy Vector Autoregressions," Computational Economics, Springer;Society for Computational Economics, vol. 62(4), pages 1857-1882, December.
    57. Allan W. Gregory & James McNeil & Gregor W. Smith, 2024. "US fiscal policy shocks: Proxy‐SVAR overidentification via GMM," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 39(4), pages 607-619, June.
    58. Dario Caldara & Edward Herbst, 2019. "Monetary Policy, Real Activity, and Credit Spreads: Evidence from Bayesian Proxy SVARs," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(1), pages 157-192, January.
    59. Degasperi, Riccardo, 2023. "Identification of Expectational Shocks in the Oil Market using OPEC Announcements," The Warwick Economics Research Paper Series (TWERPS) 1464, University of Warwick, Department of Economics.
    60. Thorsten Drautzburg, 2020. "A narrative approach to a fiscal DSGE model," Quantitative Economics, Econometric Society, vol. 11(2), pages 801-837, May.
    61. Bruns, Martin & Keweloh, Sascha A., 2024. "Testing for strong exogeneity in Proxy-VARs," Journal of Econometrics, Elsevier, vol. 245(1).
    62. Martin Bruns & Helmut Lütkepohl & James McNeil, 2025. "Avoiding Unintentionally Correlated Shocks in Proxy Vector Autoregressive Analysis," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 43(4), pages 1119-1131, October.
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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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