Frequency-Domain Test Of Time Reversibility

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Frequency-Domain Test Of Time Reversibility

Author Info

Hinich , Melvin J.
Rothman, Philip

Additional information is available for the following registered author(s):

Philip Rothman

Abstract

We introduce a frequency-domain test of time reversibility, theREVERSE test. It is based on the bispectrum. We analyticallyestablish the asymptotic distribution of the test and also exploreits finite-sample properties through Monte-Carlo simulation.Following other researchers who demonstrated that the problem ofbusiness-cycle asymmetry can be stated as whether macroeconomicfluctuations are time irreversible, we use the REVERSE test as afrequency-domain test of business-cycle asymmetry. Our empiricalresults show that time irreversibility is the rule rather than theexception for a representative set of macroeconomic time series forfive OECD countries.

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Publisher Info
Article provided by Cambridge University Press in its journal Macroeconomic Dynamics.

Volume (Year): 2 (1998)
Issue (Month): 01 (March)
Pages: 72-88
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Handle: RePEc:cup:macdyn:v:2:y:1998:i:01:p:72-88_00

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Paper
- Melvin J. Hinich & Philip Rothman, . "A Frequency Domain Test of Time Reversibility," Working Papers 9706, East Carolina University, Department of Economics. [Downloadable!]

References listed on IDEAS
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.:

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)
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)
Other versions:
- Ramsey, J.B. & Rothman, P., 1993. "Time Irreversibility and Business Cycle Asymmetry," Working Papers 93-39, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
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. [Downloadable!] (restricted)
Other versions:
- Falk, Barry L., 2003. "Further Evidence on the Asymmetric Behavior of Economic Time Series over the Business Cycle," Staff General Research Papers 11097, Iowa State University, Department of Economics.
Sichel, Daniel E, 1993. "Business Cycle Asymmetry: A Deeper Look," Economic Inquiry, Oxford University Press, vol. 31(2), pages 224-36, April.
Potter, Simon M, 1995. "A Nonlinear Approach to US GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 109-25, April-Jun. [Downloadable!] (restricted)
Other versions:
- Simon M. Potter, 1993. "A Nonlinear Approach to U.S. GNP," UCLA Economics Working Papers 693, UCLA Department of Economics. [Downloadable!]
J. Bradford De Long & Lawrence H. Summers, 1986. "Are Business Cycles Symmetric?," NBER Working Papers 1444, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September. [Downloadable!] (restricted)

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Cited by:
(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.)

Barry E. Jones & Travis D. Nesmith, 2006. "Linear cointegration of nonlinear time series with an application to interest rate dynamics," Finance and Economics Discussion Series 2007-03, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
Other versions:
- Travis Nesmith & Barry Jones, 2008. "Linear Cointegration of Nonlinear Time Series with an Application to Interest Rate Dynamics," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 12(1), pages 1468-1468. [Downloadable!] (restricted)
Yi-Ting Chen & Chung-Ming Kuan, 2002. "Time irreversibility and EGARCH effects in US stock index returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(5), pages 565-578. [Downloadable!]
Barry E. Jones & Travis D. Nesmith, 1999. "Tests for non-linear dynamics in systems of non-stationary economic time series: the case of short-term US interest rates," Finance and Economics Discussion Series 1999-55, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
Randal J. Verbrugge, 1998. "A cross-country investigation of macroeconomic asymmetries," Macroeconomics 9809017, EconWPA, revised 30 Sep 1998. [Downloadable!]
Amado Peiró, 2004. "Are business cycles asymmetric? Some European evidence," Applied Economics, Taylor and Francis Journals, vol. 36(4), pages 335-342, March. [Downloadable!] (restricted)
McCausland, William, 2004. "Time Reversibility of Stationary Regular Finite State Markov Chains," Cahiers de recherche 09-2004, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
Other versions:
- McCAUSLAND, William, 2004. "Time Reversibility of Stationary Regular Finite State Markov Chains," Cahiers de recherche 2004-07, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
- McCausland, William J., 2007. "Time reversibility of stationary regular finite-state Markov chains," Journal of Econometrics, Elsevier, vol. 136(1), pages 303-318, January. [Downloadable!] (restricted)
Theodore Panagiotidis & Gianluigi Pelloni, 2005. "Non-Linearity in the Canadian and US Labour Market: Univariate and Multivariate Evidence from a battery of tests," Discussion Paper Series 2005_8, Department of Economics, Loughborough University, revised Aug 2005. [Downloadable!]
Other versions:
- Theodore Panagiotidis & Gianluigi Pelloni, 2007. "Non-Linearity In The Canadian And Us Labour Markets: Univariate And Multivariate Evidence From A Battery Of Tests," Working Paper Series 06-07, Rimini Centre for Economic Analysis, revised Jul 2007. [Downloadable!]
- T. Panagiotidis & G. Pelloni, 2004. "Non-Linearity in the Canadian and US Labour Markets: Univariate and Multivariate Evidence from A Battery of Tests," Working Papers 506, Dipartimento Scienze Economiche, Universita' di Bologna. [Downloadable!]

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