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Fractional Integration and Business Cycles Features

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Author Info
Luis A. Gil-Alana () (School of Economics and Business Administration, University of Navarra)
Bertrand Candelon

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Abstract

We show in this article that fractionally integrated univariate models for GDP may lead to a better replication of 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 components of the series. Then, we model the real GDP in France, the UK and the US by means of fractionally ARIMA (ARFIMA) models, and show that the three time series can be specified in terms of this type of models 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 describes the business cycles features of the data at least for the cases of the UK and the US.

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Paper provided by School of Economics and Business Administration, University of Navarra in its series Faculty Working Papers with number 09/04.

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Length: 27 pages pages
Date of creation: Apr 2004
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Publication status: Published, Empirical Economics, 2004, vol. 29: pp. 343-359
Handle: RePEc:una:unccee:wp0904

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Find related papers by JEL classification:
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models

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    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)
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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)
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  15. Gil-Alana, Luis A., 1999. "Testing fractional integration with monthly data," Economic Modelling, Elsevier, vol. 16(4), pages 613-629, December. [Downloadable!] (restricted)
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  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!]
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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. 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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