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Residuals-based Tests for Cointegration with GLS Detrended Data

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  • Pierre Perron

    () (Boston University)

  • Gabriel Rodríguez

    () (Pontificia Universidad Católica del Perú)

Abstract

We provide GLS-detrended versions of single-equation static regression or residuals-based tests for testing whether or not non-stationary time series are cointegrated. Our approach is to consider nearly optimal tests for unit roots and apply them in the cointegration context. We derive the local asymptotic power functions of all tests considered for a triangular DGP imposing a directional restriction such that the regressors are pure integrated processes. Our GLS versions of the tests do indeed provide substantial power improvements over their OLS counterparts. Simulations show that the gains in power are important and stable across various configurations.

Suggested Citation

  • Pierre Perron & Gabriel Rodríguez, "undated". "Residuals-based Tests for Cointegration with GLS Detrended Data," Boston University - Department of Economics - Working Papers Series wp2015-017, Boston University - Department of Economics, revised 19 Oct 2015.
  • Handle: RePEc:bos:wpaper:wp2015-017
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    15. Rapach, David E. & Weber, Christian E., 2004. "Are real interest rates really nonstationary? New evidence from tests with good size and power," Journal of Macroeconomics, Elsevier, vol. 26(3), pages 409-430, September.
    16. Shyh-Wei Chen, 2007. "Evidence of the Long-Run Neutrality of Money: The Case of South Korea and Taiwan," Economics Bulletin, AccessEcon, vol. 3(64), pages 1-18.
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    18. Ghassan, Hassan B., 2009. "Non Linear Adjustment in the MLR Condition: Evidence from Threshold Cointegration," MPRA Paper 54393, University Library of Munich, Germany.
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    21. Ghassan, Hassan B. & AlDehailan, Salman, 2009. "اختبار التكامل المشترك غير الخطي بين الاستثمار الحكومي والاستثمار الخاص في الاقتصاد السعودي [Test of Non Linear Cointegration between Government Investment and Private Investment in Saudi Arabia Ec," MPRA Paper 56376, University Library of Munich, Germany, revised 04 Dec 2009.
    22. Cook, Steven, 2007. "On the relationship between mergers and economic activity: Evidence from an optimised hybrid method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 628-634.
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    More about this item

    Keywords

    Cointegration; Residuals-Based Unit Root Tests; ECR Tests; OLS and GLS Detrended Data; Hypothesis Testing;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • 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
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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