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Forecasting with High-Dimensional Panel VARs

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  • Koop, Gary
  • Korobilis, Dimitris

Abstract

This paper develops methods for estimating and forecasting in Bayesian panel vector autoregressions of large dimensions with time-varying parameters and stochastic volatility. We exploit a hierarchical prior that takes into account possible pooling restrictions involving both VAR coefficients and the error covariance matrix, and propose a Bayesian dynamic learning procedure that controls for various sources of model uncertainty. We tackle computational concerns by means of a simulation-free algorithm that relies on an analytical approximation of the posterior distribution. We use our methods to forecast inflation rates in the eurozone and show that forecasts from our flexible specification are superior to alternative methods for large vector autoregressions.

Suggested Citation

  • Koop, Gary & Korobilis, Dimitris, 2015. "Forecasting with High-Dimensional Panel VARs," MPRA Paper 84275, University Library of Munich, Germany, revised 31 Jan 2018.
  • Handle: RePEc:pra:mprapa:84275
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    File URL: https://mpra.ub.uni-muenchen.de/84275/1/MPRA_paper_84275.pdf
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    References listed on IDEAS

    as
    1. Marta Bańbura, 2008. "Large Bayesian VARs," 2008 Meeting Papers 334, Society for Economic Dynamics.
    2. Diebold, Francis X. & Schorfheide, Frank & Shin, Minchul, 2017. "Real-time forecast evaluation of DSGE models with stochastic volatility," Journal of Econometrics, Elsevier, vol. 201(2), pages 322-332.
    3. Koop, Gary & Korobilis, Dimitris, 2016. "Model uncertainty in Panel Vector Autoregressive models," European Economic Review, Elsevier, vol. 81(C), pages 115-131.
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    6. Canova, Fabio & Ciccarelli, Matteo, 2013. "Panel Vector Autoregressive Models: A Survey," CEPR Discussion Papers 9380, C.E.P.R. Discussion Papers.
    7. Koop, Gary & Korobilis, Dimitris & Pettenuzzo, Davide, 2019. "Bayesian compressed vector autoregressions," Journal of Econometrics, Elsevier, vol. 210(1), pages 135-154.
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    9. Chudik, Alexander & Pesaran, M. Hashem, 2011. "Infinite-dimensional VARs and factor models," Journal of Econometrics, Elsevier, vol. 163(1), pages 4-22, July.
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    11. Korobilis, Dimitris, 2016. "Prior selection for panel vector autoregressions," Computational Statistics & Data Analysis, Elsevier, vol. 101(C), pages 110-120.
    12. Luc Bauwens & Gary Koop & Dimitris Korobilis & Jeroen V.K. Rombouts, 2015. "The Contribution of Structural Break Models to Forecasting Macroeconomic Series," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(4), pages 596-620, June.
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Roberto Casarin & Claudia Foroni & Massimiliano Marcellino & Francesco Ravazzolo, 2016. "Uncertainty Through the Lenses of A Mixed-Frequency Bayesian Panel Markov Switching Model," Working Papers 585, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    2. Deborah Gefang & Gary Koop & Aubrey Poon, 2019. "Variational Bayesian Inference in Large Vector Autoregressions with Hierarchical Shrinkage," Economic Statistics Centre of Excellence (ESCoE) Discussion Papers ESCoE DP-2019-07, Economic Statistics Centre of Excellence (ESCoE).
    3. Malovaná, Simona & Frait, Jan, 2017. "Monetary policy and macroprudential policy: Rivals or teammates?," Journal of Financial Stability, Elsevier, vol. 32(C), pages 1-16.
    4. repec:eee:jeborg:v:142:y:2017:i:c:p:140-163 is not listed on IDEAS
    5. Christou, Christina & Cunado, Juncal & Gupta, Rangan & Hassapis, Christis, 2017. "Economic policy uncertainty and stock market returns in PacificRim countries: Evidence based on a Bayesian panel VAR model," Journal of Multinational Financial Management, Elsevier, vol. 40(C), pages 92-102.
    6. Martinez-Miera, David & Repullo, Rafael, 2019. "Monetary policy, macroprudential policy, and financial stability," Working Paper Series 2297, European Central Bank.
    7. Florian Huber & Michael Pfarrhofer, 2018. "Dealing with cross-country heterogeneity in panel VARs using finite mixture models," Papers 1804.01554, arXiv.org, revised Mar 2019.
    8. Beckmann, Joscha & Czudaj, Robert, 2017. "Capital flows and GDP in emerging economies and the role of global spillovers," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 140-163.
    9. repec:fip:fedreb:00079 is not listed on IDEAS
    10. Sheereen Fauzel* & Boopen Seetanah & RV Sannassee, 2015. "Foreign direct investment and welfare nexus in sub Saharan Africa," Journal of Developing Areas, Tennessee State University, College of Business, vol. 49(4), pages 271-283, October-D.
    11. Christou, Christina & Gupta, Rangan & Hassapis, Christis, 2017. "Does economic policy uncertainty forecast real housing returns in a panel of OECD countries? A Bayesian approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 65(C), pages 50-60.
    12. Alexey Ponomarenko & Anna Rozhkova & Sergei Seleznev, 2017. "Macro-financial linkages: the role of liquidity dependence," Bank of Russia Working Paper Series wps24, Bank of Russia.
    13. Liu, Laura & Matthes, Christian & Petrova, Katerina & Romero, Jessica Sackett, 2019. "Monetary Policy across Space and Time," Richmond Fed Economic Brief, Federal Reserve Bank of Richmond, issue August, pages 1-6.

    More about this item

    Keywords

    Panel VAR; inflation forecasting; Bayesian; time-varying parameter model;

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: 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

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