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Estimation of VAR Models: Computational Aspects

Author

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  • Paolo Foschi

    (Institut d'informatique, UniversitÈ de Neuchatel, Rue Emile Argand 11, CH-2007 Neuchâtel, Switzerland)

  • Erricos J. Kontoghiorghes

    (Institut d'informatique, UniversitÈ de Neuchatel, Rue Emile Argand 11, CH-2007 Neuchâtel, Switzerland)

Abstract

The Vector Autoregressive (VAR) model with zero coefficient restrictions can be formulated as a Seemingly Unrelated Regression Equation (SURE) model. Both the response vectors and the coefficient matrix of the regression equations comprise columns from a Toeplitz matrix. Efficient numerical and computational methods which exploit the Toeplitz and Kronecker product structure of the matrices are proposed. The methods are also adapted to provide numerically stable algorithms for the estimation of VAR(p) models with Granger-caused variables.

Suggested Citation

  • Paolo Foschi & Erricos J. Kontoghiorghes, 2003. "Estimation of VAR Models: Computational Aspects," Computational Economics, Springer;Society for Computational Economics, vol. 21(1_2), pages 3-22, February.
    • Handle: RePEc:kap:compec:v:21:y:2003:i:1_2:p:3-22
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    References listed on IDEAS

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    1. Kontoghiorghes, E. J. & Clarke, M. R. B., 1995. "An alternative approach for the numerical solution of seemingly unrelated regression equations models," Computational Statistics & Data Analysis, Elsevier, vol. 19(4), pages 369-377, April.
    2. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
    3. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
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    1. Foschi, Paolo & Kontoghiorghes, Erricos J., 2003. "Estimating seemingly unrelated regression models with vector autoregressive disturbances," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 27-44, October.
    2. Godolphin, J.D., 2009. "New formulations for recursive residuals as a diagnostic tool in the fixed-effects linear model with design matrices of arbitrary rank," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2119-2128, April.
    3. Foschi, Paolo & Kontoghiorghes, Erricos J., 2002. "Seemingly unrelated regression model with unequal size observations: computational aspects," Computational Statistics & Data Analysis, Elsevier, vol. 41(1), pages 211-229, November.
    4. Gatu, Cristian & Kontoghiorghes, Erricos J. & Gilli, Manfred & Winker, Peter, 2008. "An efficient branch-and-bound strategy for subset vector autoregressive model selection," Journal of Economic Dynamics and Control, Elsevier, vol. 32(6), pages 1949-1963, June.
    5. Blumenstock, Hendrik & von Grone, Udo & Mehlhorn, Marc & Merkl, Johannes & Pietz, Marcus, 2012. "Einflussfaktoren von CDS-Spreads als Maß für das aktuelle Bonitätsrisiko: Liefert das Rating eine Erklärung?," Bayreuth Working Papers on Finance, Accounting and Taxation (FAcT-Papers) 2012-03, University of Bayreuth, Chair of Finance and Banking.
    6. Charles G. Renfro, 2009. "The Practice of Econometric Theory," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75571-5.
    7. Gatu, Cristian & Kontoghiorghes, Erricos J., 2006. "Estimating all possible SUR models with permuted exogenous data matrices derived from a VAR process," Journal of Economic Dynamics and Control, Elsevier, vol. 30(5), pages 721-739, May.
    8. Foschi, Paolo & Belsley, David A. & Kontoghiorghes, Erricos J., 2003. "A comparative study of algorithms for solving seemingly unrelated regressions models," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 3-35, October.

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