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Inference for VARs identified with sign restrictions

  • Hyungsik Roger Moon
  • Frank Schorfheide
  • Eleonara Granziera
  • Mihye Lee

There is a fast growing literature that partially identifies structural vector autoregressions (SVARs) by imposing sign restrictions on the responses of a subset of the endogenous variables to a particular structural shock (sign-restricted SVARs). To date, the methods that have been used are only justified from a Bayesian perspective. This paper develops methods of constructing error bands for impulse response functions of sign-restricted SVARs that are valid from a frequentist perspective. The authors also provide a comparison of frequentist and Bayesian error bands in the context of an empirical application — the former can be twice as wide as the latter.

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File URL: http://www.philadelphiafed.org/research-and-data/publications/working-papers/2011/wp11-20.pdf
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Paper provided by Federal Reserve Bank of Philadelphia in its series Working Papers with number 11-20.

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Date of creation: 2011
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Handle: RePEc:fip:fedpwp:11-20
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  1. Donald W.K. Andrews & Patrik Guggenberger, 2007. "Validity of Subsampling and "Plug-in Asymptotic" Inference for Parameters Defined by Moment Inequalities," Cowles Foundation Discussion Papers 1620, Cowles Foundation for Research in Economics, Yale University.
  2. Jean Boivin & Marc P. Giannoni, 2006. "Has Monetary Policy Become More Effective?," The Review of Economics and Statistics, MIT Press, vol. 88(3), pages 445-462, August.
  3. Dedola, Luca & Neri, Stefano, 2006. "What does a technology shock do? A VAR analysis with model-based sign restrictions," Working Paper Series 0705, European Central Bank.
  4. Victor Chernozhukov & Han Hong & Elie Tamer, 2007. "Estimation and Confidence Regions for Parameter Sets in Econometric Models," Econometrica, Econometric Society, vol. 75(5), pages 1243-1284, 09.
  5. 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, vol. 10(5), pages 1166-1188, October.
  6. Gert Peersman, 2005. "What caused the early millennium slowdown? Evidence based on vector autoregressions," Bank of England working papers 272, Bank of England.
  7. Gert Peersman & Roland Straub, 2009. "Technology Shocks And Robust Sign Restrictions In A Euro Area Svar," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(3), pages 727-750, 08.
  8. Evi Pappa, 2009. "The Effects Of Fiscal Shocks On Employment And The Real Wage," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(1), pages 217-244, 02.
  9. Adam Rosen, 2006. "Confidence sets for partially identified parameters that satisfy a finite number of moment inequalities," CeMMAP working papers CWP25/06, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  10. Christiane Baumeister & Gert Peersman, 2013. "Time-Varying Effects of Oil Supply Shocks on the US Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 5(4), pages 1-28, October.
  11. Mountford, Andrew & Uhlig, Harald, 2002. "What are the Effects of Fiscal Policy Shocks?," CEPR Discussion Papers 3338, C.E.P.R. Discussion Papers.
  12. Juan F. Rubio-Ram�rez & Daniel F. Waggoner & Tao Zha, 2010. "Structural Vector Autoregressions: Theory of Identification and Algorithms for Inference," Review of Economic Studies, Oxford University Press, vol. 77(2), pages 665-696.
  13. Barry Z. Cynamon & Donald H. Dutkowsky & Barry E. Jones, 2006. "Redefining the Monetary Agggregates: A Clean Sweep," Eastern Economic Journal, Eastern Economic Association, vol. 32(4), pages 661-672, Fall.
  14. Jon Faust, 1998. "The robustness of identified VAR conclusions about money," International Finance Discussion Papers 610, Board of Governors of the Federal Reserve System (U.S.).
  15. Peter C.B. Phillips, 1995. "Impulse Response and Forecast Error Variance Asymptotics in Nonstationary VAR's," Cowles Foundation Discussion Papers 1102, Cowles Foundation for Research in Economics, Yale University.
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