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Whittle Pseudo-Maximum Likelihood Estimation for Nonstationary Time Series - (Now published in Journal of the American Statistical Association, 95, (2000), pp.1229-1243.)

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Author Info
Peter M Robinson
Carlos Velasco

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Abstract

Whittle pseudo-maximum likelihood estimates of parameters for stationary time series have been found to be consistent and asumptotically normal in the presence of long-range dependence. Generalizing the definition of the memory parameter d, we extend these results to include possibly nonstationary (0.5 = d < 1) or antipersistent (-0.5 < d < 0) observations. Using adequate data tapers we can apply this estimation technique to any degree of nonstationarity d = 0.5 without prior knowledge of the memory of the series. We analyse the performance of the estimates on simulated and real data.

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Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Econometrics Paper Series with number /2000/391.

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Date of creation: May 2000
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Handle: RePEc:cep:stiecm:/2000/391

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Related research
Keywords: Long-range dependence; nonstationary long memory time series; nonstationary fractional models; frequency domain estimation; tapering.;

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  1. Miguel A. Delgado & Carlos Velasco, 2007. "A new class of distribution-free tests for time series models specification," Economics Working Papers we078047, Universidad Carlos III, Departamento de Economía. [Downloadable!]
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  2. Javier Hualde & Peter M. Robinson, 2002. "Root-n-Consistent Estimation of Weak Fractional Cointegration," Faculty Working Papers 08/02, School of Economics and Business Administration, University of Navarra. [Downloadable!]
  3. Violetta Dalla & Liudas Giraitis & Javier Hidalgo, 2006. "Consistent estimation of the memory parameterfor nonlinear time series," STICERD - Econometrics Paper Series /2006/497, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  4. Javier De Peña & Luis A. Gil-Alana, 2002. "Do Spanish Stock Market Prices Follow a Random Walk?," Faculty Working Papers 02/02, School of Economics and Business Administration, University of Navarra. [Downloadable!]
  5. Violetta Dalla & Javier Hidalgo, 2005. "A Parametric Bootstrap Test for Cycles," STICERD - Econometrics Paper Series /2005/486, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  6. Ignacio N. Lobato & Carlos Velasco, 2004. "Optimal Fractional Dickey-Fuller Tests for Unit Roots," Working Papers 0401, Centro de Investigacion Economica, ITAM. [Downloadable!]
  7. Katarzyna Lasak, 2008. "Likelihood based testing for no fractional cointegration," CREATES Research Papers 2008-52, School of Economics and Management, University of Aarhus. [Downloadable!]
  8. Wen-Den Chen, 2006. "Testing for spurious regression in a panel data model with the individual number and time length growing," Journal of Applied Statistics, Taylor and Francis Journals, vol. 33(8), pages 759-772, September. [Downloadable!] (restricted)
  9. Juncal Cunado & Luis A. Gil-Alana & Fernando Pérez de Gracia, 2003. "Additional Empirical Evidence on Real Convergence: A Fractionally Integrated Approach," Faculty Working Papers 01/03, School of Economics and Business Administration, University of Navarra. [Downloadable!]
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  10. Juan J. Dolado & Jesús Gonzalo & Laura Mayoral, 2005. "Testing I(1) against I(d) alternatives in the presence of deteministic components," Economics Working Papers 957, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  11. Fabrizio Iacone & Peter M Robinson, 2004. "Cointegration in Fractional Systems with Deterministic Trends," STICERD - Econometrics Paper Series /2004/476, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  12. Patrik Guggenberger & Yixiao Sun, 2004. "Bias-Reduced Log-Periodogram and Whittle Estimation of the Long-Memory Parameter Without Variance Inflation," University of California at San Diego, Economics Working Paper Series 2004-14, Department of Economics, UC San Diego. [Downloadable!]
  13. L. A. Gil-Alana, 2003. "A fractional integration analysis of the population in some OECD countries," Journal of Applied Statistics, Taylor and Francis Journals, vol. 30(10), pages 1147-1159, December. [Downloadable!] (restricted)
  14. Javier De Peña & Luis A. Gil-Alana, 2003. "Testing of Nonstationary Cycles in Financial Time Series Data," Faculty Working Papers 15/03, School of Economics and Business Administration, University of Navarra. [Downloadable!]
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  15. Ignacio N. Lobato & Carlos Velasco, 2005. "Efficient Wald Tests For Fractional Unit Roots," Economics Working Papers we056935, Universidad Carlos III, Departamento de Economía. [Downloadable!]
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  16. Javier Hualde, 2005. "Unbalanced Cointegration," Faculty Working Papers 06/05, School of Economics and Business Administration, University of Navarra. [Downloadable!]
  17. Guglielmo Maria Caporale & Luis A. Gil-Alana & Mike Nazarski, 2004. "Testing Of Nonstationarities In The Unit Circle,Long Memory Processes And Day Of The Week Effects In Financial Data," Economics and Finance Discussion Papers 04-20, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
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  18. Proietti, Tommaso, 2008. "Direct and iterated multistep AR methods for difference stationary processes," MPRA Paper 10859, University Library of Munich, Germany, revised 01 Apr 2009. [Downloadable!]
  19. Peter M Robinson, 2004. "The Distance between Rival Nonstationary Fractional Processes," STICERD - Econometrics Paper Series /2004/468, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  20. Laura Mayoral, 2006. "Minimum Distance Estimation of stationary and non-stationary ARFIMA Processes," Economics Working Papers 959, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  21. Luis A. Gil-Alana, 2003. "Fractional Integration with Bloomfield Disturbances in the Specification of Real Output in the G7 Countries," The B.E. Journal of Macroeconomics, Berkeley Electronic Press, vol. 0(1). [Downloadable!]
  22. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2004. "Long range dependence in daily stock returns," Applied Financial Economics, Taylor and Francis Journals, vol. 14(6), pages 375-383, March. [Downloadable!] (restricted)
  23. Frank S. Nielsen, 2008. "Local polynomial Whittle estimation covering non-stationary fractional processes," CREATES Research Papers 2008-28, School of Economics and Management, University of Aarhus. [Downloadable!]
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