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The FMLS-based CUSUM statistic for testing the null of smooth time-varying cointegration in the presence of a structural break

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  • Neto, David

Abstract

In this paper we extend the FMLS-based CUSUM cointegration test (Xiao and Phillips, 2002) for testing the smooth time-varying cointegration null hypothesis. For this purpose we use Chebyshev time polynomials to specify time-varying coefficients under the null. We derive the limiting distribution of the statistic, which is pivotal with the order of the Chebyshev time polynomials, and we provide the critical values to conduct the proposed test.

Suggested Citation

  • Neto, David, 2014. "The FMLS-based CUSUM statistic for testing the null of smooth time-varying cointegration in the presence of a structural break," Economics Letters, Elsevier, vol. 125(2), pages 208-211.
    • Handle: RePEc:eee:ecolet:v:125:y:2014:i:2:p:208-211
    DOI: 10.1016/j.econlet.2014.09.009
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    References listed on IDEAS

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    1. Neto, David, 2012. "Testing and estimating time-varying elasticities of Swiss gasoline demand," Energy Economics, Elsevier, vol. 34(6), pages 1755-1762.
    2. Zuo, Haomiao & Park, Sung Y., 2011. "Money demand in China and time-varying cointegration," China Economic Review, Elsevier, vol. 22(3), pages 330-343, September.
    3. Gupta, Rakesh & Guidi, Francesco, 2012. "Cointegration relationship and time varying co-movements among Indian and Asian developed stock markets," International Review of Financial Analysis, Elsevier, vol. 21(C), pages 10-22.
    4. Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
    5. Park, Cheolbeom & Park, Sookyung, 2013. "Exchange rate predictability and a monetary model with time-varying cointegration coefficients," Journal of International Money and Finance, Elsevier, vol. 37(C), pages 394-410.
    6. Kim, Bong-Han & Kim, Hong-Kee & Oh, Keun-Yeob, 2009. "The purchasing power parity of Southeast Asian currencies: A time-varying coefficient approach," Economic Modelling, Elsevier, vol. 26(1), pages 96-106, January.
    7. Gregory, Allan W. & Nason, James M. & Watt, David G., 1996. "Testing for structural breaks in cointegrated relationships," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 321-341.
    8. Xiao, Zhijie & Phillips, Peter C. B., 2002. "A CUSUM test for cointegration using regression residuals," Journal of Econometrics, Elsevier, vol. 108(1), pages 43-61, May.
    9. Park, Sung Y. & Zhao, Guochang, 2010. "An estimation of U.S. gasoline demand: A smooth time-varying cointegration approach," Energy Economics, Elsevier, vol. 32(1), pages 110-120, January.
    10. Bierens, Herman J. & Martins, Luis F., 2010. "Time-Varying Cointegration," Econometric Theory, Cambridge University Press, vol. 26(5), pages 1453-1490, October.
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    Cited by:

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    More about this item

    Keywords

    Time-varying cointegration; Chebyshev time polynomials; Structural break; FMLS-based CUSUM test;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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