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Inference in Vector Autoregressive Models with an Informative Prior on the Steady State

  • Villani, Mattias

    ()

    (Research Department, Central Bank of Sweden)

Vector autoregressions have steadily gained in popularity since their introduction in econometrics 25 years ago. A drawback of the otherwise fairly well developed methodology is the inability to incorporate prior beliefs regarding the system's steady state in a satisfactory way. Such prior information are typically readily available and may be crucial for forecasts at long horizons. This paper develops easily implemented numerical simulation algorithms for analyzing stationary and cointegrated VARs in a parametrization where prior beliefs on the steady state may be adequately incorporated. The analysis is illustrated on macroeconomic data for the Euro area.

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Paper provided by Sveriges Riksbank (Central Bank of Sweden) in its series Working Paper Series with number 181.

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Length: 22 pages
Date of creation: 16 Mar 2005
Date of revision:
Handle: RePEc:hhs:rbnkwp:0181
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  1. John C. Robertson & Ellis W. Tallman, 1999. "Vector autoregressions: forecasting and reality," Economic Review, Federal Reserve Bank of Atlanta, issue Q1, pages 4-18.
  2. Kleibergen, F.R. & Paap, R., 1998. "Priors, posteriors and Bayes factors for a Bayesian analysis of cointegration," Econometric Institute Research Papers EI 9821, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  3. Lubrano, Michel, 1995. "Testing for unit roots in a Bayesian framework," Journal of Econometrics, Elsevier, vol. 69(1), pages 81-109, September.
  4. Fagan, Gabriel & Henry, Jérôme & Mestre, Ricardo, 2001. "An area-wide model (AWM) for the euro area," Working Paper Series 0042, European Central Bank.
  5. Villani, Mattias & Warne, Anders, 2003. "Monetary Policy Analysis in a Small Open Economy using Bayesian Cointegrated Structural VARs," Working Paper Series 156, Sveriges Riksbank (Central Bank of Sweden).
  6. Waggoner, Daniel F. & Zha, Tao, 2003. "A Gibbs sampler for structural vector autoregressions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 349-366, November.
  7. Schotman, Peter & van Dijk, Herman K., 1991. "A Bayesian analysis of the unit root in real exchange rates," Journal of Econometrics, Elsevier, vol. 49(1-2), pages 195-238.
  8. Strachan, Rodney W. & Inder, Brett, 2004. "Bayesian analysis of the error correction model," Journal of Econometrics, Elsevier, vol. 123(2), pages 307-325, December.
  9. Bauwens, Luc & Lubrano, Michel & Richard, Jean-Francois, 2000. "Bayesian Inference in Dynamic Econometric Models," OUP Catalogue, Oxford University Press, number 9780198773139, March.
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