Sign Restrictions
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This RePEc Biblio topic is edited by Renee A. Fry-McKibbin (pfr116). It was first published on 2013-02-10 21:44:11 and last updated on 2013-02-11 03:44:11.
Introduction by the editor
Structural vector autoregressions have become one of the major ways of extracting information about the macro economy. To determine this information, a vector autoregression (VAR) is first fitted to summarize the data and then a structural VAR (SVAR) is proposed whose structural equation errors are taken to be the economic shocks. The parameters of these structural equations are then estimated by utilizing the information in the VAR. The VAR is a reduced form that summarizes the data; the SVAR provides an interpretation of the data. As for any set of structural equations, recovery of the structural equation parameters (shocks) requires the use of identification restrictions that reduce the number of “free†parameters in the structural equations to the number that can be recovered from the information in the reduced form. Recently, a new method for estimating SVARs has arisen that employs sign restrictions upon the impulse responses as a way of identifying shocks (Jon Faust 1998; Harald Uhlig 2005; Fabio Canova and Gianni De Nicoló 2002). Applications of this method have been growing, as seen in the papers listed below. Most of the papers below are reviewed in Fry and Pagan 2010 which examininges this literature in more detail.Most relevant JEL codes
- 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
- C51 - Mathematical and Quantitative Methods -- Econometric Modeling --- Model Construction and Estimation
- E12 - Macroeconomics and Monetary Economics -- General Aggregative Models --- Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
Most relevant research
- Renée Fry & Adrian Pagan, 2011, "Sign Restrictions in Structural Vector Autoregressions: A Critical Review," Journal of Economic Literature, American Economic Association, volume 49, issue 4, pages 938-960, December.
- Renee Fry & Adrian Pagan, 2010, "Sign Restrictions in Structural Vector Autoregressions: A Critical Review," CAMA Working Papers, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University, number 2010-22, Jul.
- Renee Fry & Adrian Pagan, 2010, "Sign Restrictions in Structural Vector Autoregressions: A Critical Review," NCER Working Paper Series, National Centre for Econometric Research, number 57, Jul.
- Tom Doan, 2025, "FRY_PAGAN_JEL2011: RATS program to demonstrate Fry-Pagan(2011) median target estimates for impulse response functions," Statistical Software Components, Boston College Department of Economics, number RTZ00201, revised .
- Faust, Jon, 1998, "The robustness of identified VAR conclusions about money," Carnegie-Rochester Conference Series on Public Policy, Elsevier, volume 49, issue 1, pages 207-244, December.
- Tom Doan, 2025, "RATS program to replicate Faust 1998 paper on semi-structural VAR," Statistical Software Components, Boston College Department of Economics, number RTZ00178, revised .
- Uhlig, Harald, 2005, "What are the effects of monetary policy on output? Results from an agnostic identification procedure," Journal of Monetary Economics, Elsevier, volume 52, issue 2, pages 381-419, March.
- Uhlig, Harald, 1999, "What are the Effects of Monetary Policy on Output? Results from an Agnostic Identification Procedure," CEPR Discussion Papers, Centre for Economic Policy Research, number 2137, May.
- Uhlig, H.F.H.V.S., 1999, "What are the Effects of Monetary Policy on Output? Results from an Agnostic Identification Procedure," Discussion Paper, Tilburg University, Center for Economic Research, number 1999-28.
- Tom Doan, 2026, "UHLIGJME2005: RATS programs to replicate Uhlig(2005)'s VAR identification technique," Statistical Software Components, Boston College Department of Economics, number RTJ00076, revised .
- Tom Doan, 2025, "UHLIGFUNCS: RATS procedure to compute criteria for Uhlig sign-restricted shocks," Statistical Software Components, Boston College Department of Economics, number RTS00217, revised .
- Tom Doan, 2025, "RATS programs to replicate Uhlig's VAR identification technique," Statistical Software Components, Boston College Department of Economics, number RTZ00163, revised .
- Canova, Fabio & Nicolo, Gianni De, 2002, "Monetary disturbances matter for business fluctuations in the G-7," Journal of Monetary Economics, Elsevier, volume 49, issue 6, pages 1131-1159, September.
- Fabio Canova & Gianni De Nicolo, 2000, "Monetary disturbances matter for business fluctuations in the G-7," International Finance Discussion Papers, Board of Governors of the Federal Reserve System (U.S.), number 660.
- Gert Peersman, 2005, "What caused the early millennium slowdown? Evidence based on vector autoregressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., volume 20, issue 2, pages 185-207, DOI: 10.1002/jae.832.
- Gert Peersman, 2005, "What caused the early millennium slowdown? Evidence based on vector autoregressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., volume 20, issue 2, pages 185-207, DOI: 10.1002/jae.832.
- Gert Peersman, 2005, "What caused the early millennium slowdown? Evidence based on vector autoregressions," Bank of England Staff Working Paper series, Bank of England, number 272, Sep.
- Peersman, Gert, 2003, "What Caused the Early Millennium Slowdown? Evidence Based on Vector Autoregressions," CEPR Discussion Papers, Centre for Economic Policy Research, number 4087, Oct.
- G. Peersman, 2004, "What caused the early millennium slowdown? Evidence based on vector autoregressions," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium, Ghent University, Faculty of Economics and Business Administration, number 04/235, Mar.
- Paustian Matthias, 2007, "Assessing Sign Restrictions," The B.E. Journal of Macroeconomics, De Gruyter, volume 7, issue 1, pages 1-33, August, DOI: 10.2202/1935-1690.1543.
- Lutz Kilian & Daniel P. Murphy, 2012, "Why Agnostic Sign Restrictions Are Not Enough: Understanding The Dynamics Of Oil Market Var Models," Journal of the European Economic Association, European Economic Association, volume 10, issue 5, pages 1166-1188, October, DOI: j.1542-4774.2012.01080.x.
- Kilian, Lutz & Murphy, Daniel, 2009, "Why Agnostic Sign Restrictions Are Not Enough: Understanding the Dynamics of Oil Market VAR Models," CEPR Discussion Papers, Centre for Economic Policy Research, number 7471, Sep.
- Canova, Fabio & Paustian, Matthias, 2011, "Business cycle measurement with some theory," Journal of Monetary Economics, Elsevier, volume 58, issue 4, pages 345-361, DOI: 10.1016/j.jmoneco.2011.07.005.
- Canova, Fabio & Paustian, Matthias, 2011, "Business cycle measurement with some theory," CEPR Discussion Papers, Centre for Economic Policy Research, number 8364, Apr.
- Fabio Canova & Matthias Paustian, 2007, "Business cycle measurement with some theory," Economics Working Papers, Department of Economics and Business, Universitat Pompeu Fabra, number 1203, Nov, revised Jul 2011.
- Dungey, Mardi & Fry, Renée, 2009, "The identification of fiscal and monetary policy in a structural VAR," Economic Modelling, Elsevier, volume 26, issue 6, pages 1147-1160, November.
- Mardi Dungey & Renee Fry, 2007, "The Identification of Fiscal and Monetary Policy in a Structural VAR," CAMA Working Papers, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University, number 2007-29, Dec.
- Eickmeier, Sandra & Hofmann, Boris & Worms, Andreas, 2006, "Macroeconomic fluctuations and bank lending: evidence for Germany and the euro area," Discussion Paper Series 1: Economic Studies, Deutsche Bundesbank, number 2006,34.
- Sandra Eickmeier & Boris Hofmann & Andreas Worms, 2009, "Macroeconomic Fluctuations and Bank Lending: Evidence for Germany and the Euro Area," German Economic Review, Verein für Socialpolitik, volume 10, issue 2, pages 193-223, May, DOI: 10.1111/j.1468-0475.2008.00455.x.
- Eickmeier Sandra & Worms Andreas & Hofmann Boris, 2009, "Macroeconomic Fluctuations and Bank Lending: Evidence for Germany and the Euro Area," German Economic Review, De Gruyter, volume 10, issue 2, pages 193-223, May, DOI: 10.1111/j.1468-0475.2008.00455.x.

