Second-order moments of frequency asymmetric cycles
Second-order moments, as even functions in time, are conventionally regarded as containing no information about the time irreversible nature of a sequence and therefore about its frequency asymmetry. However, this paper shows that the frequency asymmetry produces a clearly distinct behaviour in second-order moments that can be observed in both the time domain and the frequency domain. In addition, a frequency domain method of estimation of the differing lengths of the recessionary and expansionary stages of a cycle is proposed and its finite sample performance evaluated. Finally, the asymmetric patterns in the waves of the US unemployment rate and in the sunspot index are analysed.
|Date of creation:||Dec 2011|
|Date of revision:|
|Publication status:||Published by Ivie|
|Contact details of provider:|| Postal: C/ Guardia Civil, 22, Esc 2a, 1o, E-46020 VALENCIA|
Phone: +34 96 319 00 50
Fax: +34 96 319 00 55
Web page: http://www.ivie.es/
More information through EDIRC
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.:
- Falk, Barry L., 1986.
"Further Evidence on the Asymmetric Behavior of Economic Time Series over the Business Cycle,"
Staff General Research Papers Archive
11097, Iowa State University, Department of Economics.
- Falk, Barry, 1986. "Further Evidence on the Asymmetric Behavior of Economic Time Series over the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1096-1109, October.
- 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.
- 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.
- Philip Rothman, .
"Forecasting Asymmetric Unemployment Rates,"
9618, East Carolina University, Department of Economics.
- Hinich , Melvin J. & Rothman, Philip, 1998.
"Frequency-Domain Test Of Time Reversibility,"
Cambridge University Press, vol. 2(01), pages 72-88, March.
- Rothman Philip A, 2008. "Reconsideration of the Markov Chain Evidence on Unemployment Rate Asymmetry," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(3), pages 1-18, September.
- Agustín Maravall & Ana del Río, 2001. "Time Aggregation and the Hodrick-Prescott Filter," Working Papers 0108, Banco de España;Working Papers Homepage.
- Amado Peiro, 2004. "Are business cycles asymmetric? Some European evidence," Applied Economics, Taylor & Francis Journals, vol. 36(4), pages 335-342.
- A. M. Walker, 2003. "A note on estimation by least squares for harmonic component models," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(5), pages 613-629, 09.
- Terasvirta, T & Anderson, H M, 1992. "Characterizing Nonlinearities in Business Cycles Using Smooth Transition Autoregressive Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages S119-36, Suppl. De.
When requesting a correction, please mention this item's handle: RePEc:ivi:wpasad:2011-27. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Departamento de Edición)
If references are entirely missing, you can add them using this form.