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Detecting Asymmetries in Observed Linear Time Series and Unobserved Disturbances

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Author Info
Jeong-Ryeol Kim (Christian Albrechts University at Kiel)
Stefan Mittnik (Christian Albrechts University at Kiel)
Svetlozar Rachev (University of California at Santa Barbara)
Abstract

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.

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Publisher Info
Article provided by Berkeley Electronic Press in its journal Studies in Nonlinear Dynamics & Econometrics.

Volume (Year): 1 (1996)
Issue (Month): 3 ()
Pages: 131-143
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Handle: RePEc:bep:sndecm:1:1996:3:131-143

Note: oai:bepress:snde-1017
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Related research
Keywords: Symmetry Multivariate symmetry Symmetry test Characteristic symmetry function Spectral

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Neftci, Salih N, 1984. "Are Economic Time Series Asymmetric over the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 92(2), pages 307-28, April. [Downloadable!] (restricted)
  2. Ramsey, James B & Rothman, Philip, 1996. "Time Irreversibility and Business Cycle Asymmetry," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(1), pages 1-21, February. [Downloadable!] (restricted)
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  3. Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," Journal of Business, University of Chicago Press, vol. 36, pages 394. [Downloadable!]
  4. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March. [Downloadable!] (restricted)
  5. Stefan Mittnik & Svetlozar Rachev, 1993. "Modeling asset returns with alternative stable distributions," Econometric Reviews, Taylor and Francis Journals, vol. 12(3), pages 261-330. [Downloadable!] (restricted)
  6. Rothman, P, 1992. "The Comparative Power of the TR Test against Simple Threshold Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages S187-95, Suppl. De. [Downloadable!] (restricted)
  7. Sichel, Daniel E, 1989. "Are Business Cycles Asymmetric? A Correction," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1255-60, October. [Downloadable!] (restricted)
  8. Rothman, Philip, 1991. "Further evidence on the asymmetric behavior of unemployment rates over the business cycle," Journal of Macroeconomics, Elsevier, vol. 13(2), pages 291-298. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Randal J. Verbrugge, 1998. "A cross-country investigation of macroeconomic asymmetries," Macroeconomics 9809017, EconWPA, revised 30 Sep 1998. [Downloadable!]
  2. Jorge Belaire-Franch & Amado Peiro, 2003. "Conditional and Unconditional Asymmetry in U.S. Macroeconomic Time Series," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 7(1), pages 1108-1108. [Downloadable!] (restricted)
  3. 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. [Downloadable!]
  4. Randal Verbrugge Randal Verbrugge, 1997. "Investigating Cyclical Asymmetries," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 2(1), pages 15-22. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
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