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Model Selection Criteria in Multivariate Models with Multiple Structural Changes

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  • Eiji Kurozumi
  • Purevdorj Tuvaandorj

Abstract

This paper considers the issue of selecting the number of regressors and the number of structural breaks in multivariate regression models in the possible presence of mul- tiple structural changes. We develop a modified Akaike's information criterion (AIC), a modified Mallows' Cp criterion and a modified Bayesian information criterion (BIC). The penalty terms in these criteria are shown to be different from the usual terms. We prove that the modified BIC consistently selects the regressors and the number of breaks whereas the modified AIC and the modified Cp criterion tend to overly choose them with positive probability. The finite sample performance of these criteria is investigated through Monte Carlo simulations and it turns out that our modification is successful in comparison to the classical model selection criteria and the sequential testing procedure with the robust method.

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File URL: http://gcoe.ier.hit-u.ac.jp/research/discussion/2008/pdf/gd10-144.pdf
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Bibliographic Info

Paper provided by Institute of Economic Research, Hitotsubashi University in its series Global COE Hi-Stat Discussion Paper Series with number gd10-144.

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Date of creation: Jun 2010
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Handle: RePEc:hst:ghsdps:gd10-144

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Keywords: structural breaks; AIC; Mallows' Cp; BIC; information criteria;

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References

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  1. Donald W.K. Andrews, 1990. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Cowles Foundation Discussion Papers 943, Cowles Foundation for Research in Economics, Yale University.
  2. Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  3. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
  4. Bai, Jushan, 1997. "Estimating Multiple Breaks One at a Time," Econometric Theory, Cambridge University Press, vol. 13(03), pages 315-352, June.
  5. Hansen, Bruce E., 2009. "Averaging Estimators For Regressions With A Possible Structural Break," Econometric Theory, Cambridge University Press, vol. 25(06), pages 1498-1514, December.
  6. Donald W.K. Andrews & Inpyo Lee & Werner Ploberger, 1992. "Optimal Changepoint Tests for Normal Linear Regression," Cowles Foundation Discussion Papers 1016, Cowles Foundation for Research in Economics, Yale University.
  7. Jushan Bai, 1999. "Vector Autoregressive Models with Structural Changes in Regression Coefficients and in Variance-Covariance Matrices," CEMA Working Papers 24, China Economics and Management Academy, Central University of Finance and Economics, revised Oct 2000.
  8. Jushan Bai, 1997. "Estimation Of A Change Point In Multiple Regression Models," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 551-563, November.
  9. Zhongjun Qu & Pierre Perron, 2007. "Estimating and Testing Structural Changes in Multivariate Regressions," Econometrica, Econometric Society, vol. 75(2), pages 459-502, 03.
  10. Ninomiya, Yoshiyuki, 2005. "Information criterion for Gaussian change-point model," Statistics & Probability Letters, Elsevier, vol. 72(3), pages 237-247, May.
  11. Bai, Jushan, 1999. "Likelihood ratio tests for multiple structural changes," Journal of Econometrics, Elsevier, vol. 91(2), pages 299-323, August.
  12. Davis, Richard A. & Lee, Thomas C.M. & Rodriguez-Yam, Gabriel A., 2006. "Structural Break Estimation for Nonstationary Time Series Models," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 223-239, March.
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Cited by:
  1. Hiroshi Nakaota & Yuichi Fukuta, 2013. "The Leading Indicator Property of the Term Spread and the Monetary Policy Factors in Japan," Discussion Papers in Economics and Business 13-09, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP), revised Jul 2013.
  2. Yunjong Eo & James Morley, 2013. "Likelihood-Based Confidence Sets for the Timing of Structural Breaks," Discussion Papers 2013-12, School of Economics, The University of New South Wales.
  3. Ibrahim Ahamada & Jose Luis Diaz Sanchez, 2013. "A Retrospective Analysis of the House Prices Macro-Relationship in the United States," International Journal of Central Banking, International Journal of Central Banking, vol. 9(4), pages 153-174, December.
  4. Mutl, Jan & Sögner, Leopold, 2013. "Parameter Estimation and Inference with Spatial Lags and Cointegration," Economics Series 296, Institute for Advanced Studies.
  5. Eo, Yunjong & Morley, James, 2011. "Likelihood-Ratio-Based Confidence Sets for the Timing of Structural Breaks," Working Papers 2011-07, University of Sydney, School of Economics, revised Feb 2014.
  6. Hiroshi Nakaota & Yuichi Fukuta, 2013. "The Leading Indicator Property of the Term Spread and the Monetary Policy Factors in Japan," Discussion Papers in Economics and Business 13-09-Rev, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
  7. Nakaota, Hiroshi & Fukuta, Yuichi, 2013. "The leading indicator property of the term spread and the monetary policy factors in Japan," Japan and the World Economy, Elsevier, vol. 28(C), pages 85-98.

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