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Fractional integration and business cycle features

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Author Info
Bertrand Candelon
Luis A. Gil-Alana ()

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Abstract

We show in this article that fractionally integrated univariate models for GDP lead to a better replication of the main business cycle characteristics. We firstly show that the business cycle features are clearly affected by the degree of integration as well as by the other short run (AR, MA, etc.) components of the series. Then, we model the real GDP in the UK and the US by means of fractionally ARIMA (ARFIMA) model, and show that the time series can be specified in terms of this type of model with orders of integration higher than one but smaller than two. Comparing the ARFIMA specifications with those based on ARIMA models, we show via simulations that the former better describe the business cycles features of the data. Copyright Springer-Verlag 2004

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File URL: http://hdl.handle.net/10.1007/s00181-003-0171-7
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Publisher Info
Article provided by Springer in its journal Empirical Economics.

Volume (Year): 29 (2004)
Issue (Month): 2 (05)
Pages: 343-359
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Handle: RePEc:spr:empeco:v:29:y:2004:i:2:p:343-359

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Keywords: Long memory business cycles fractional integration

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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.:
  1. Diebold, Francis X. & Rudebusch, Glenn D., 1989. "Long memory and persistence in aggregate output," Journal of Monetary Economics, Elsevier, vol. 24(2), pages 189-209, September. [Downloadable!] (restricted)
    Other versions:
  2. 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)
  3. Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October. [Downloadable!] (restricted)
  4. Francis X. Diebold & Glenn D. Rudebusch, 1990. "Have postwar economic fluctuations been stabilized?," Discussion Paper / Institute for Empirical Macroeconomics 33, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  5. 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)
  6. Zarnowitz, Victor & Moore, Geoffrey H, 1982. "Sequential Signals of Recession and Recovery," Journal of Business, University of Chicago Press, vol. 55(1), pages 57-85, January. [Downloadable!] (restricted)
  7. Romer, Christina D, 1986. "Is the Stabilization of the Postwar Economy a Figment of the Data?," American Economic Review, American Economic Association, vol. 76(3), pages 314-34, June. [Downloadable!] (restricted)
  8. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May. [Downloadable!] (restricted)
  9. Gregory D. Hess & Shigeru Iwata, 1995. "Measuring business cycle features," Research Working Paper 95-10, Federal Reserve Bank of Kansas City. [Downloadable!]
  10. Stock, James H. & Watson, Mark W., 1986. "Does GNP have a unit root?," Economics Letters, Elsevier, vol. 22(2-3), pages 147-151. [Downloadable!] (restricted)
  11. Gil-Alana, Luis A., 2000. "Mean reversion in the real exchange rates," Economics Letters, Elsevier, vol. 69(3), pages 285-288, December. [Downloadable!] (restricted)
  12. Harding, Don & Pagan, Adrian, 2002. "Dissecting the cycle: a methodological investigation," Journal of Monetary Economics, Elsevier, vol. 49(2), pages 365-381, March. [Downloadable!] (restricted)
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  13. Perron, P., 1987. "The Great Crash, the Oil Prices and the Unit Root Hypothesis," Cahiers de recherche 8749, Universite de Montreal, Departement de sciences economiques.
  14. Beaudry, Paul & Koop, Gary, 1993. "Do recessions permanently change output?," Journal of Monetary Economics, Elsevier, vol. 31(2), pages 149-163, April. [Downloadable!] (restricted)
  15. Gil-Alana, Luis A., 1999. "Testing fractional integration with monthly data," Economic Modelling, Elsevier, vol. 16(4), pages 613-629, December. [Downloadable!] (restricted)
  16. Francis X. Diebold & Marc Nerlove, 1988. "Unit roots in economic time series: a selective survey," Finance and Economics Discussion Series 49, Board of Governors of the Federal Reserve System (U.S.).
  17. Canova, Fabio, 1994. "Detrending and turning points," European Economic Review, Elsevier, vol. 38(3-4), pages 614-623, April. [Downloadable!] (restricted)
  18. Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October. [Downloadable!] (restricted)
  19. William R. Parke, 1999. "What Is Fractional Integration?," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 632-638, November. [Downloadable!] (restricted)
  20. Artis, Michael J & Kontolemis, Zenon G & Osborn, Denise R, 1997. "Business Cycles for G7 and European Countries," Journal of Business, University of Chicago Press, vol. 70(2), pages 249-79, April. [Downloadable!] (restricted)
  21. L. A. Gil-Alana & P. M. Robinson, 2001. "Testing of seasonal fractional integration in UK and Japanese consumption and income," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(2), pages 95-114. [Downloadable!]
    Other versions:
Full references

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.)

  1. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2005. "Non-Linearities And Fractional Integration In The Us Unemployment Rate," Economics and Finance Discussion Papers 05-17, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
  2. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2004. "Long Memory At The Long Run And At The Cyclical Frequencies: Modelling Real Wages In England, 1260 -1994," Economics and Finance Discussion Papers 04-21, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
  3. Luis Alberiko Gil-Alana & Guglielmo M.Caporale, . "Long Memory at the Long Run and at the Cyclical Frequencies:Modelling Real Wages in England: 1260-1994," Faculty Working Papers 18/05, School of Economics and Business Administration, University of Navarra. [Downloadable!]
  4. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2007. "Long Run and Cyclical Dynamics in the US Stock Market," CESifo Working Paper Series CESifo Working Paper No. , CESifo GmbH. [Downloadable!]
  5. Araújo, E. & Gama, C. A. F., 2004. "Replicando características de ciclos econômicos: um estudo comparativo entre Redes Neurais Artificiais e modelos ARIMA," Ibmec Working Papers wpe_43, Ibmec Working Paper, Ibmec São Paulo. [Downloadable!]
  6. Guglielmo Caporale & Luis Gil-Alana, 2006. "Long memory at the long run and at the cyclical frequencies: modelling real wages in England, 1260–1994," Empirical Economics, Springer, vol. 31(1), pages 83-93, March. [Downloadable!] (restricted)
  7. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2004. "Long Memory At The Long Run And At The Cyclical Frequencies: Modelling Real Wages In England, 1260 -1994," Public Policy Discussion Papers 04-21, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
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