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Efficient Estimation and Inference in Cointegrating Regressions with Structural Change

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  • Kurozumi, Eiji
  • Arai, Yoichi

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 (1992). We show that the estimator of the break fraction is consistent and of order faster than T -1/2 and that the CCR estimator with the estimated break fraction has the same asymptotic property as the estimator with the known break point. Simulation experiments show how the finite sample distribution gets close to the limiting distribution as the magnitude of the break and/or the sample size increases.

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Bibliographic Info

Paper provided by Graduate School of Economics, Hitotsubashi University in its series Discussion Papers with number 2004-09.

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Length: 28, [2] p.
Date of creation: Jan 2005
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Handle: RePEc:hit:econdp:2004-09

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Cited by:
  1. 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, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo CARF-F-022, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  2. Yoichi Arai & Eiji Kurozumi, 2005. "Testing for the Null Hypothesis of Cointegration with Structural Breaks," CIRJE F-Series, CIRJE, Faculty of Economics, University of Tokyo CIRJE-F-319, CIRJE, Faculty of Economics, University of Tokyo.

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