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On Critical Values of Tests against a Change in Persistence

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  • Uwe Hassler
  • Jan Scheithauer

Abstract

Kim, Belaire-Franch and Amador ["Journal of Econometrics" (2002) Vol. 109, pp. 389-392] and Busetti and Taylor ["Journal of Econometrics" (2004) Vol. 123, pp. 33-66] present different percentiles for the same mean score test statistic. We find that the difference by a factor 0.6 is due to systematically different sample analogues. Furthermore, we clarify which sample versions of the mean-exponential test statistic should be correctly used with which set of critical values. At the same time, we correct some of the limiting distributions found in the literature. Copyright (c) Blackwell Publishing Ltd and the Department of Economics, University of Oxford, 2008.

Suggested Citation

  • Uwe Hassler & Jan Scheithauer, 2008. "On Critical Values of Tests against a Change in Persistence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(5), pages 705-710, October.
  • Handle: RePEc:bla:obuest:v:70:y:2008:i:5:p:705-710
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    References listed on IDEAS

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    1. Hansen, Bruce E, 1997. "Approximate Asymptotic P Values for Structural-Change Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 60-67, January.
    2. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    3. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2006. "Modified tests for a change in persistence," Journal of Econometrics, Elsevier, vol. 134(2), pages 441-469, October.
    4. Giuseppe Cavaliere & A. M. Robert Taylor, 2006. "Testing for a Change in Persistence in the Presence of a Volatility Shift," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 761-781, December.
    5. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    6. Cavaliere, Giuseppe & Taylor, A.M. Robert, 2008. "Testing for a change in persistence in the presence of non-stationary volatility," Journal of Econometrics, Elsevier, vol. 147(1), pages 84-98, November.
    7. Busetti, Fabio & Taylor, A. M. Robert, 2004. "Tests of stationarity against a change in persistence," Journal of Econometrics, Elsevier, vol. 123(1), pages 33-66, November.
    8. A. M. Robert Taylor, 2005. "Fluctuation Tests for a Change in Persistence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(2), pages 207-230, April.
    9. Kim, Jae-Young, 2000. "Detection of change in persistence of a linear time series," Journal of Econometrics, Elsevier, vol. 95(1), pages 97-116, March.
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    Cited by:

    1. Uwe Hassler & Jan Scheithauer, 2011. "Detecting changes from short to long memory," Statistical Papers, Springer, vol. 52(4), pages 847-870, November.

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