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Efficient estimation and inference in cointegrating regressions with structural change

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  • Eiji Kurozumi
  • Yoichi Arai

Abstract

. This paper investigates an efficient estimation method for a cointegrating regression model with structural change. Our proposal is that we first estimate the break point by minimizing the sum of squared residuals and then, by replacing the break fraction with the estimated one, we estimate the regression model by the canonical cointegrating regression (CCR) method proposed by Park [Econometrica (1992) Vol. 60, pp. 119–143]. We show that the estimator of the break fraction has the same convergence rate as obtained in Bai, Lumsdaine and Stock [Review of Economic Studies (1998) Vol. 65, pp. 395–432] and that the CCR estimator with the estimated break fraction has the same asymptotic property as the estimator with the known break point. However, we also show that our method breaks down when the magnitude of structural change is very small. Simulation experiments reveal how the finite sample distribution approaches the limiting distribution as the magnitude of the break and or the sample size increases.

Suggested Citation

  • Eiji Kurozumi & Yoichi Arai, 2007. "Efficient estimation and inference in cointegrating regressions with structural change," Journal of Time Series Analysis, Wiley Blackwell, vol. 28(4), pages 545-575, July.
    • Handle: RePEc:bla:jtsera:v:28:y:2007:i:4:p:545-575
    DOI: 10.1111/j.1467-9892.2006.00524.x
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    Cited by:

    1. Zongwu Cai & Seong Yeon Chang, 2018. "A New Test In A Predictive Regression with Structural Breaks," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201811, University of Kansas, Department of Economics, revised Dec 2018.
    2. Yoichi Arai & Eiji Kurozumi, 2007. "Testing for the Null Hypothesis of Cointegration with a Structural Break," Econometric Reviews, Taylor & Francis Journals, vol. 26(6), pages 705-739.
    3. Mariam Camarero & Josep Lluís Carrion-i-Silvestre & Cecilio Tamarit, 2021. "Análisis de la sostenibilidad del sector exterior en la OCDE con técnicas de multicointegración," Working Papers 2112, Department of Applied Economics II, Universidad de Valencia.
    4. David Neto, 2015. "Testing for and dating structural break in smooth time-varying cointegration parameters, with an application to retail gasoline price and crude oil price long-run relationship," Empirical Economics, Springer, vol. 49(3), pages 909-928, November.
    5. Yoichi Arai & Eiji Kurozumi, 2005. "Testing for the Null Hypothesis of Cointegration with Structural Breaks (Subsequently published in "Econometric Reviews", Volume 26, Issue 6 November 2007, pages 705 - 739. )," CARF F-Series CARF-F-022, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.

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