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Constructing structural VAR models with conditional independence graphs


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


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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    References listed on IDEAS

    1. Melino, Angelo, 1988. " The Term Structure of Interest Rates: Evidence and Theory," Journal of Economic Surveys, Wiley Blackwell, vol. 2(4), pages 335-366.
    2. Tom Engsted & Ken Nyholm, 2000. "Regime shifts in the Danish term structure of interest rates," Empirical Economics, Springer, vol. 25(1), pages 1-13.
    3. 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.
    4. Bruneau, Catherine & Jondeau, Eric, 1999. " Long-Run Causality, with an Application to International Links between Long-Term Interest Rates," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 545-568, November.
    5. 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.
    6. Steffen L. Lauritzen & Thomas S. Richardson, 2002. "Chain graph models and their causal interpretations," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(3), pages 321-348.
    7. David A. Bessler & Seongpyo Lee, 2002. "Money and prices: U.S. Data 1869-1914 (A study with directed graphs)," Empirical Economics, Springer, vol. 27(3), pages 427-446.
    8. David Archer & Andy Brookes & Michael Reddell, 1999. "A cash rate system for implementing monetary policy," Reserve Bank of New Zealand Bulletin, Reserve Bank of New Zealand, vol. 62, March.
    9. 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(01), April.
    10. Cuthbertson, Keith, 1996. "The Expectations Hypothesis of the Term Structure: The UK Interbank Market," Economic Journal, Royal Economic Society, vol. 106(436), pages 578-592, May.
    11. 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.
    12. 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.
    13. 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.
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    Cited by:

    1. Fragetta, Matteo, 2010. "Monetary Policy and Identification in SVAR Models: A Data Oriented Perspective," MPRA Paper 20616, University Library of Munich, Germany.
    2. 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.
    3. 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.
    4. 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.

    More about this item


    Graphical models; Directed acyclic graphs; Term structure; Causality;

    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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