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Detecting Asymmetries in Observed Linear Time Series and Unobserved Disturbances


  • Kim Jeong-Ryeol

    () (Institute of Statistics and Econometrics Christian Albrechts University at Kiel, Germany)

  • Mittnik Stefan

    () (Institute of Statistics and Econometrics Christian Albrechts University at Kiel, Germany)

  • Rachev Svetlozar T.

    (Department of Statistics and Applied Probability University of California Santa Barbara, CA 93106-3110, USA)


This paper investigates the problem of testing for the symmetry of linear time series driven by asymmetric innovations. In particular, we examine the performance of alternative symmetry tests when innovations are fat tailed. Among the tests considered, only the test based on the tail estimator of the spectral measure yields satisfactory results in the presence of fat-tailed innovations.

Suggested Citation

  • Kim Jeong-Ryeol & Mittnik Stefan & Rachev Svetlozar T., 1996. "Detecting Asymmetries in Observed Linear Time Series and Unobserved Disturbances," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(3), pages 1-15, October.
  • Handle: RePEc:bpj:sndecm:v:1:y:1996:i:3:n:1

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    Cited by:

    1. Dufour, Jean-Marie & Kurz-Kim, Jeong-Ryeol, 2010. "Exact inference and optimal invariant estimation for the stability parameter of symmetric [alpha]-stable distributions," Journal of Empirical Finance, Elsevier, vol. 17(2), pages 180-194, March.
    2. Randal J. Verbrugge, 1998. "A cross-country investigation of macroeconomic asymmetries," Macroeconomics 9809017, EconWPA, revised 30 Sep 1998.
    3. W.A. Razzak, 2001. "Business Cycle Asymmetries: International Evidence," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(1), pages 230-243, January.
    4. W A Razzak, 1998. "Business cycle asymmetries and the nominal exchange rate regimes," Reserve Bank of New Zealand Discussion Paper Series G98/4, Reserve Bank of New Zealand.

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