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Power properties of the CUSUM and CUSUMSQ tests for parameter instability


  • Paul Turner


This article investigates the power of CUSUM and CUSUMSQ tests for parameter stability and demonstrates that this depends on the nature of the structural change taking place. If the break is in the intercept of the regression equation then the CUSUM test has higher power. However, if the structural change involves a slope coefficient or the variance of the error term, then the CUSUMSQ test has higher power. This may help to explain why the two tests often produce contradictory findings.

Suggested Citation

  • Paul Turner, 2010. "Power properties of the CUSUM and CUSUMSQ tests for parameter instability," Applied Economics Letters, Taylor & Francis Journals, vol. 17(11), pages 1049-1053.
  • Handle: RePEc:taf:apeclt:v:17:y:2010:i:11:p:1049-1053
    DOI: 10.1080/00036840902817474

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    Cited by:

    1. Shahbaz, Muhammad & Naeem, Muhammad & Ahad, Muhammad & Tahir, Iqbal, 2018. "Is natural resource abundance a stimulus for financial development in the USA?," Resources Policy, Elsevier, vol. 55(C), pages 223-232.
    2. Machava, Agostinho, 2017. "The Macroeconomic Determinants of the Pass-Through from the Market Interest Rate to the Bank Lending Rate in Mozambique," Umeå Economic Studies 954, Umeå University, Department of Economics.
    3. Berenguer-Rico, Vanessa & Nielsen, Bent, 2020. "Cumulated Sum Of Squares Statistics For Nonlinear And Nonstationary Regressions," Econometric Theory, Cambridge University Press, vol. 36(1), pages 1-47, February.

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