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Bayesian analysis of recursive SVAR models with overidentifying restrictions

Author

Listed:
  • Kociecki, Andrzej
  • Rubaszek, Michał
  • Ca' Zorzi, Michele

Abstract

The paper provides a novel Bayesian methodological framework to estimate structural VAR (SVAR) models with recursive identification schemes that allows for the inclusion of over-identifying restrictions. The proposed framework enables the researcher to (i) elicit the prior on the non-zero contemporaneous relations between economic variables and to (ii) derive an analytical expression for the posterior distribution and marginal data density. We illustrate our methodological framework by estimating a backward looking New-Keynesian model taking into account prior beliefs about the contemporaneous coefficients in the Phillips curve and Taylor rule. JEL Classification: C11, C32, E47

Suggested Citation

  • Kociecki, Andrzej & Rubaszek, Michał & Ca' Zorzi, Michele, 2012. "Bayesian analysis of recursive SVAR models with overidentifying restrictions," Working Paper Series 1492, European Central Bank.
    • Handle: RePEc:ecb:ecbwps:20121492
    Note: 343031
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    File URL: https://www.ecb.europa.eu//pub/pdf/scpwps/ecbwp1492.pdf
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    References listed on IDEAS

    as
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    3. Christiano, Lawrence J. & Eichenbaum, Martin & Evans, Charles L., 1999. "Monetary policy shocks: What have we learned and to what end?," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 2, pages 65-148, Elsevier.
    4. Marta Banbura & Domenico Giannone & Lucrezia Reichlin, 2010. "Large Bayesian vector auto regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(1), pages 71-92.
    5. Domenico Giannone & Michele Lenza & Giorgio E. Primiceri, 2015. "Prior Selection for Vector Autoregressions," The Review of Economics and Statistics, MIT Press, vol. 97(2), pages 436-451, May.
    6. Orphanides, Athanasios, 2003. "Monetary policy evaluation with noisy information," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 605-631, April.
    7. Sims, Christopher A & Zha, Tao, 1998. "Bayesian Methods for Dynamic Multivariate Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 949-968, November.
    8. Marta Banbura & Domenico Giannone & Lucrezia Reichlin, 2010. "Large Bayesian vector auto regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(1), pages 71-92.
    9. 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.
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    11. 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.
    12. Litterman, Robert, 1986. "Forecasting with Bayesian vector autoregressions -- Five years of experience : Robert B. Litterman, Journal of Business and Economic Statistics 4 (1986) 25-38," International Journal of Forecasting, Elsevier, vol. 2(4), pages 497-498.
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    Cited by:

    1. Jiranyakul, Komain, 2016. "Identifying the Effects of Monetary Policy Shock on Output and Prices in Thailand," MPRA Paper 75708, University Library of Munich, Germany.
    2. Hajargasht, Gholamreza & Rao, D.S. Prasada, 2019. "Multilateral index number systems for international price comparisons: Properties, existence and uniqueness," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 36-47.
    3. Fabio Canova & Fernando J. Pérez Forero, 2012. "Estimating overidentified, nonrecursive, time-varying coefficients structural VARs," Economics Working Papers 1321, Department of Economics and Business, Universitat Pompeu Fabra.
    4. Brancaccio, Emiliano & Califano, Andrea & Lopreite, Milena & Moneta, Alessio, 2020. "Nonperforming loans and competing rules of monetary policy: A statistical identification approach," Structural Change and Economic Dynamics, Elsevier, vol. 53(C), pages 127-136.
    5. Han, Xu, 2018. "Estimation and inference of dynamic structural factor models with over-identifying restrictions," Journal of Econometrics, Elsevier, vol. 202(2), pages 125-147.
    6. Ca' Zorzi, Michele & Kocięcki, Andrzej & Rubaszek, Michał, 2015. "Bayesian forecasting of real exchange rates with a Dornbusch prior," Economic Modelling, Elsevier, vol. 46(C), pages 53-60.

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    More about this item

    Keywords

    Bayesian inference; overidentifying restrictions; structural VAR;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • 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
    • E47 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Forecasting and Simulation: Models and Applications

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