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An Introductory Review of a Structural VAR-X Estimation and Applications

  • Sergio Ocampo


  • Norberto Rodríguez


This document presents how to estimate and implement a structural VAR-X model under long run and impact identification restrictions. Estimation by bayesian and maximum likelihood methods is presented. Applications of the structural VAR-X for impulse response functions to structural shocks, multiplier analysis of the exogenous variables, forecast error variance decomposition and historical decomposition of the endogenous variables are also described, as well as a method for computing HPD regions in a bayesian context. Some of the concepts are exemplified with an application to US data.

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Paper provided by Banco de la Republica de Colombia in its series Borradores de Economia with number 686.

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Length: 24
Date of creation: Dec 2011
Date of revision:
Handle: RePEc:bdr:borrec:686
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  1. Christopher A. Sims & Tao Zha, 1999. "Error Bands for Impulse Responses," Econometrica, Econometric Society, vol. 67(5), pages 1113-1156, September.
  2. Granziera, Eleonora & Lee, Mihye & Moon, Hyungsik Roger & Schorfheide, Frank, 2011. "Inference for VARs Identified with Sign Restrictions," CEPR Discussion Papers 8432, C.E.P.R. Discussion Papers.
  3. James Morley & Thomas King, 2003. "In Search of the Natural Rate of Unemployment," Computing in Economics and Finance 2003 190, Society for Computational Economics.
  4. Frank Smets & Raf Wouters, 2007. "Shocks and Frictions in US Business Cycles : a Bayesian DSGE Approach," Working Paper Research 109, National Bank of Belgium.
  5. Fabio Canova & Evi Pappa, 2003. "Price differentials in monetary unions: The role of fiscal shocks," Economics Working Papers 923, Department of Economics and Business, Universitat Pompeu Fabra, revised Jun 2005.
  6. Lutz Kilian, 1998. "Small-Sample Confidence Intervals For Impulse Response Functions," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 218-230, May.
  7. Bauwens, Luc & Lubrano, Michel & Richard, Jean-Francois, 2000. "Bayesian Inference in Dynamic Econometric Models," OUP Catalogue, Oxford University Press, number 9780198773139, July.
  8. Mountford, A.W. & Uhlig, H.F.H.V.S., 2002. "What are the Effects of Fiscal Policy Shocks?," Discussion Paper 2002-31, Tilburg University, Center for Economic Research.
  9. Lutkepohl, Helmut, 1990. "Asymptotic Distributions of Impulse Response Functions and Forecast Error Variance Decompositions of Vector Autoregressive Models," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 116-25, February.
  10. Kadiyala, K Rao & Karlsson, Sune, 1997. "Numerical Methods for Estimation and Inference in Bayesian VAR-Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(2), pages 99-132, March-Apr.
  11. Runkle, David E, 1987. "Vector Autoregressions and Reality," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 437-42, October.
  12. Bénédicte Vidaillet & V. D'Estaintot & P. Abécassis, 2005. "Introduction," Post-Print hal-00287137, HAL.
  13. David E. Runkle, 1987. "Vector autoregressions and reality," Staff Report 107, Federal Reserve Bank of Minneapolis.
  14. Kocięcki, Andrzej, 2010. "A Prior for Impulse Responses in Bayesian Structural VAR Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(1), pages 115-127.
  15. Runkle, David E, 1987. "Vector Autoregressions and Reality: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 454, October.
  16. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
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