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Constructing structural VAR models with conditional independence graphs

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  • Oxley, Les
  • Reale, Marco
  • Wilson, Granville Tunnicliffe

Abstract

In this paper graphical modelling is used to select a sparse structure for a multivariate time series model of New Zealand interest rates. In particular, we consider a recursive structural vector autoregressions that can subsequently be described parsimoniously by a directed acyclic graph, which could be given a causal interpretation. A comparison between competing models is then made by considering likelihood and economic theory.

Suggested Citation

  • Oxley, Les & Reale, Marco & Wilson, Granville Tunnicliffe, 2009. "Constructing structural VAR models with conditional independence graphs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(9), pages 2910-2916.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:9:p:2910-2916
    DOI: 10.1016/j.matcom.2008.11.013
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    1. Bagliano, Fabio C. & Favero, Carlo A., 1998. "Measuring monetary policy with VAR models: An evaluation," European Economic Review, Elsevier, vol. 42(6), pages 1069-1112, June.
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    13. Drakos, Konstantinos, 2003. "The term structure of deviations from the interest parity," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 13(1), pages 57-67, February.
    14. Bessler, David A. & Fuller, Stephen W., 2000. "Railroad wheat transportation markets in the central plains: modeling with error correction and directed graphs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 36(1), pages 21-39, March.
    15. M. Camarero & J. Ordonez & C. R. Tamarit, 2002. "Monetary transmission in Spain: a structural cointegrated VAR approach," Applied Economics, Taylor & Francis Journals, vol. 34(17), pages 2201-2212.
    16. Saghaian, Sayed H. & Hasan, Mohamad F. & Reed, Michael R., 2002. "Overshooting Of Agricultural Prices In Four Asian Economies," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 34(1), pages 1-15, April.
    17. Granville Tunnicliffe Wilson & Marco Reale, 2008. "The sampling properties of conditional independence graphs for I(1) structural VAR models," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(5), pages 802-810, September.
    18. Marco Reale & Granville Tunnicliffe Wilson, 2001. "Identification of vector AR models with recursive structural errors using conditional independence graphs," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 10(1), pages 49-65, January.
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    Cited by:

    1. Benjamin Poignard & Manabu Asai, 2023. "Estimation of high-dimensional vector autoregression via sparse precision matrix," The Econometrics Journal, Royal Economic Society, vol. 26(2), pages 307-326.
    2. Matteo Fragetta & Giovanni Melina, 2010. "The Effects of Fiscal Shocks in SVAR Models: A Graphical Modelling Approach," Birkbeck Working Papers in Economics and Finance 1006, Birkbeck, Department of Economics, Mathematics & Statistics.
    3. Nikolay Arefiev, 2016. "Identification of Monetary Policy Shocks within a Svar Using Restrictions Consistent with a DSGE Model," HSE Working papers WP BRP 125/EC/2016, National Research University Higher School of Economics.
    4. David Greasley & Les Oxley, 2010. "Cliometrics And Time Series Econometrics: Some Theory And Applications," Journal of Economic Surveys, Wiley Blackwell, vol. 24(5), pages 970-1042, December.
    5. Fragetta, Matteo, 2010. "Monetary Policy and Identification in SVAR Models: A Data Oriented Perspective," MPRA Paper 20616, University Library of Munich, Germany.
    6. Nikolay Arefiev, 2014. "A Theory Of Data-Oriented Identification With A Svar Application," HSE Working papers WP BRP 79/EC/2014, National Research University Higher School of Economics.
    7. Matteo Fragetta & Giovanni Melina, 2013. "Identification of monetary policy in SVAR models: a data-oriented perspective," Empirical Economics, Springer, vol. 45(2), pages 831-844, October.
    8. Nikolay Arefiev, 2016. "Graphical Interpretations of Rank Conditions For Identification of Linear Gaussian Models," HSE Working papers WP BRP 124/EC/2016, National Research University Higher School of Economics.

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    More about this item

    Keywords

    Graphical models; Directed acyclic graphs; Term structure; Causality;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • 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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