Priors about Observables in Vector Autoregressions
Standard practice in Bayesian VARs is to formulate priors on the autoregressive parameters, but economists and policy makers actually have priors about the behavior of observable variables. We show how this kind of prior can be used in a VAR under strict probability theory principles. We state the inverse problem to be solved and we propose a numerical algorithm that works well in practical situations with a very large number of parameters. We prove various convergence theorems for the algorithm. As an application, we first show that the results in Christiano et al. (1999) are very sensitive to the introduction of various priors that are widely used. These priors turn out to be associated with undesirable priors on observables. But an empirical prior on observables helps clarify the relevance of these estimates: we find much higher persistence of output responses to monetary policy shocks than the one reported in Christiano et al. (1999) and a significantly larger total effect.
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- Jarociński, Marek & Marcet, Albert, 2010.
"Autoregressions in small samples, priors about observables and initial conditions,"
Working Paper Series
1263, European Central Bank.
- Marek Jarocinski & Albert Marcet, 2011. "Autoregressions in Small Samples, Priors about Observables and Initial Conditions," CEP Discussion Papers dp1061, Centre for Economic Performance, LSE.
- Christopher A. Sims & Tao Zha, 1996.
"Bayesian methods for dynamic multivariate models,"
96-13, Federal Reserve Bank of Atlanta.
- Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
- Whitney K. Newey & James L. Powell, 2003. "Instrumental Variable Estimation of Nonparametric Models," Econometrica, Econometric Society, vol. 71(5), pages 1565-1578, 09.
- Christiano, Lawrence J. & Trabandt, Mathias & Walentin, Karl, 2011.
"Introducing financial frictions and unemployment into a small open economy model,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 35(12), pages 1999-2041.
- Christiano, Lawrence J. & Trabandt, Mathias & Walentin, Karl, 2007. "Introducing Financial Frictions and Unemployment into a Small Open Economy Model," Working Paper Series 214, Sveriges Riksbank (Central Bank of Sweden), revised 01 Jun 2011.
- Lawrence J. Christiano & Mathias Trabandt & Karl Walentin, 2010. "Introducing financial frictions and unemployment into a small open economy model," CQER Working Paper 2010-04, Federal Reserve Bank of Atlanta.
- Mathias Trabandt & Karl Walentin & Lawrence J. Christiano, 2008. "Introducing Financial Frictions and Unemployment into a Small Open Economy Model," 2008 Meeting Papers 423, Society for Economic Dynamics.
- Litterman, Robert B, 1986.
"Forecasting with Bayesian Vector Autoregressions-Five Years of Experience,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 4(1), pages 25-38, January.
- Robert B. Litterman, 1985. "Forecasting with Bayesian vector autoregressions five years of experience," Working Papers 274, Federal Reserve Bank of Minneapolis.
- Ivan Canay & Andres Santos & Azeem Shaikh, 2012.
"On the testability of identification in some nonparametric models with endogeneity,"
CeMMAP working papers
CWP18/12, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Ivan A. Canay & Andres Santos & Azeem M. Shaikh, 2013. "On the Testability of Identification in Some Nonparametric Models With Endogeneity," Econometrica, Econometric Society, vol. 81(6), pages 2535-2559, November.
- Kadane, Joseph B. & Chan, Ngai Hang & Wolfson, Lara J., 1996. "Priors for unit root models," Journal of Econometrics, Elsevier, vol. 75(1), pages 99-111, November.
- Mattias Villani, 2009. "Steady-state priors for vector autoregressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(4), pages 630-650.
- Stéphane Bonhomme & Jean-Marc Robin, 2008.
"Generalized nonparametric deconvolution with an application to earnings dynamics,"
CeMMAP working papers
CWP03/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Stéphane Bonhomme & Jean-Marc Robin, 2010. "Generalized Non-Parametric Deconvolution with an Application to Earnings Dynamics," Review of Economic Studies, Oxford University Press, vol. 77(2), pages 491-533.
- Adjemian, Stéphane & Bastani, Houtan & Karamé, Fréderic & Juillard, Michel & Maih, Junior & Mihoubi, Ferhat & Perendia, George & Pfeifer, Johannes & Ratto, Marco & Villemot, Sébastien, 2011. "Dynare: Reference Manual Version 4," Dynare Working Papers 1, CEPREMAP, revised Jul 2014.
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