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On Theil's errors

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  • Jan R. Magnus
  • Ashoke K. Sinha

Abstract

We take a fresh look at Theil's BLUS residuals and ask why they have gone out of fashion. All our simulation experiments indicate that tests based on BLUS residuals have higher power than those based on the more popular recursive residuals, even in those cases (structural breaks) where intuition would favour the recursive residuals. Copyright 2005 Royal Economic Society

Suggested Citation

  • Jan R. Magnus & Ashoke K. Sinha, 2005. "On Theil's errors," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 39-54, March.
    • Handle: RePEc:ect:emjrnl:v:8:y:2005:i:1:p:39-54
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    1. Ploberger, Werner & Krämer;, Walter, 1990. "The Local Power of the CUSUM and CUSUM of Squares Tests," Econometric Theory, Cambridge University Press, vol. 6(3), pages 335-347, September.
    2. Karim M. Abadir & Jan R. Magnus, 2002. "Notation in econometrics: a proposal for a standard," Econometrics Journal, Royal Economic Society, vol. 5(1), pages 76-90, June.
    3. Harvey, A. C. & Phillips, G. D. A., 1974. "A comparison of the power of some tests for heteroskedasticity in the general linear model," Journal of Econometrics, Elsevier, vol. 2(4), pages 307-316, December.
    4. Dufour, Jean-Marie, 1982. "Recursive stability analysis of linear regression relationships: An exploratory methodology," Journal of Econometrics, Elsevier, vol. 19(1), pages 31-76, May.
    5. Koerts, J. & Vorst, J. I., 1967. "Some Further Notes On Disturbance Estimates With A Scalar Covariance Matrix," Econometric Institute Archives 272020, Erasmus University Rotterdam.
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    Cited by:

    1. Vougas, Dimitrios V., 2008. "Unit root testing based on BLUS residuals," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1943-1947, September.

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    More about this item

    JEL classification:

    • B23 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Econometrics; Quantitative and Mathematical Studies
    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General

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