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Cointegration in Fractional Systems with Deterministic Trends

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  • Fabrizio Iacone
  • Peter M Robinson

Abstract

We consider a cointegrated system generated by processes that may be fractionally integrated, and by additive polynomial and generalized polynomial trends. In view of the consequent competition between stochastic and deterministic trends, we consider various estimates of the cointegrating vector and develop relevant asymptotic theory, including the situation where fractional orders of integration are unknown.

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File URL: http://sticerd.lse.ac.uk/dps/em/em476.pdf
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Bibliographic Info

Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Econometrics Paper Series with number /2004/476.

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Date of creation: May 2004
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Handle: RePEc:cep:stiecm:/2004/476

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Web page: http://sticerd.lse.ac.uk/_new/publications/default.asp

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Keywords: Fractional cointegration; deterministic trends; ordinary least squares estimation; generalized least squares estimation; Wald tests.;

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  4. Peter M Robinson & Carlos Velasco, 2000. "Whittle Pseudo-Maximum Likelihood Estimation for Nonstationary Time Series - (Now published in Journal of the American Statistical Association, 95, (2000), pp.1229-1243.)," STICERD - Econometrics Paper Series /2000/391, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
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  8. Javier Hualde & Peter M Robinson, 2003. "Cointegration in Fractional Systems with Unkown Integration Orders," STICERD - Econometrics Paper Series /2003/449, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  9. Hansen, Bruce E., 1992. "Efficient estimation and testing of cointegrating vectors in the presence of deterministic trends," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 87-121.
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  16. Dennis Hoffman & Robert H. Rasche, 1989. "Long-run Income and Interest Elasticities of Money Demand in the United States," NBER Working Papers 2949, National Bureau of Economic Research, Inc.
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  22. Peter M Robinson, 2004. "Efficiency Improvements in Inference on Stationary and Nonstationary Fractional Time Series," STICERD - Econometrics Paper Series /2004/480, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  23. Marinucci, D. & Robinson, P. M., 2001. "Semiparametric fractional cointegration analysis," Journal of Econometrics, Elsevier, vol. 105(1), pages 225-247, November.
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  31. D Marinucci & Peter M Robinson, 2000. "The Averaged Periodogram for Nonstationary Vector Time Series," STICERD - Econometrics Paper Series /2000/408, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
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Citations

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Cited by:
  1. Derek Bond & Michael J. Harrison & Edward J. O'Brien, 2006. "Purchasing Power Parity: The Irish Experience Re-visited," Trinity Economics Papers tep200615, Trinity College Dublin, Department of Economics.
  2. Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2004. "Long-run and Cyclical Dynamics in the US Stock Market," Economics Series 155, Institute for Advanced Studies.
  3. Luis Gil-Alana & Rolando Peláez, 2008. "The persistence of earnings per share," Review of Quantitative Finance and Accounting, Springer, vol. 31(4), pages 425-439, November.
  4. Iacone, Fabrizio & Leybourne, Stephen J. & Robert Taylor, A.M., 2013. "Testing for a break in trend when the order of integration is unknown," Journal of Econometrics, Elsevier, vol. 176(1), pages 30-45.
  5. Marzio Galeotti & Matteo Manera & Alessandro Lanza, 2006. "On the Robustness of Robustness Checks of the Environmental Kuznets Curve," Working Papers 20060501, Università degli Studi di Milano-Bicocca, Dipartimento di Statistica, revised May 2006.
  6. Katarzyna Lasak, 2008. "Maximum likelihood estimation of fractionally cointegrated systems," CREATES Research Papers 2008-53, School of Economics and Management, University of Aarhus.
  7. Hualde, J. & Robinson, P.M., 2010. "Semiparametric inference in multivariate fractionally cointegrated systems," Journal of Econometrics, Elsevier, vol. 157(2), pages 492-511, August.
  8. Luis A. Gil-Alana, 2009. "Warming break trends and fractional integration in the northern, southern and global temperature anomaly series," Faculty Working Papers 09/09, School of Economics and Business Administration, University of Navarra.
  9. Banerjee, Anindya & Urga, Giovanni, 2005. "Modelling structural breaks, long memory and stock market volatility: an overview," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 1-34.

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