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A Smooth Transition Long-Memory Model

  • Marcel Aloy

    ()

    (AMSE - Aix-Marseille School of Economics - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université - ECM - Ecole Centrale de Marseille - EHESS - École des hautes études en sciences sociales)

  • Gilles Dufrenot

    ()

    (AMSE - Aix-Marseille School of Economics - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université - ECM - Ecole Centrale de Marseille - EHESS - École des hautes études en sciences sociales, Centre de recherche de la Banque de France - Banque de France, CEPII - Centre d'Etudes Prospectives et d'Informations Internationales - Centre d'analyse stratégique)

  • Charles Lai Tong

    ()

    (AMSE - Aix-Marseille School of Economics - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université - ECM - Ecole Centrale de Marseille - EHESS - École des hautes études en sciences sociales)

  • Anne Peguin-Feissolle

    ()

    (AMSE - Aix-Marseille School of Economics - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université - ECM - Ecole Centrale de Marseille - EHESS - École des hautes études en sciences sociales)

This paper proposes a new fractional model with a time-varying long-memory parameter. The latter evolves nonlinearly according to a transition variable through a logistic function. We present a LR-based test that allows to discriminate between the standard fractional model and our model. We further apply the nonlinear least squares method to estimate the long memory parameter. We present an application to the unemployment rate in the United -States from 1948 to 2012.

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Date of creation: Dec 2012
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Handle: RePEc:hal:wpaper:halshs-00793680
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  1. Robert J. Gordon, 1996. "The Time-Varying NAIRU and its Implications for Economic Policy," NBER Working Papers 5735, National Bureau of Economic Research, Inc.
  2. Di Tella, Rafael & MacCulloch, Robert, 2006. "Europe vs America: Institutional hysteresis in a simple normative model," Journal of Public Economics, Elsevier, vol. 90(12), pages 2161-2186, December.
  3. Gilles Dufrenot & Dominique Guegan & Anne Peguin-Feissolle, 2008. "Changing-regime volatility: A fractionally integrated SETAR model," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00185369, HAL.
  4. Haldrup, Niels & Nielsen, Morten Orregaard, 2006. "A regime switching long memory model for electricity prices," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 349-376.
  5. Mohamed Boutahar & Gilles Dufrénot & Anne Peguin-Feissolle, 2008. "A SIMPLE FRACTIONALLY INTEGRATED MODEL WITH A TIME-VARYING LONG MEMORY PARAMETER Dt - [Document de travail n°2008 - 10]," Working Papers halshs-00275254, HAL.
  6. Amine LAHIANI & Olivier SCAILLET, . "Testing for threshold effect in ARFIMA models: Application to US unemployment rate data," Swiss Finance Institute Research Paper Series 08-42, Swiss Finance Institute.
  7. Morten Ørregaard Nielsen & Per Houmann Frederiksen, 2005. "Finite Sample Comparison of Parametric, Semiparametric, and Wavelet Estimators of Fractional Integration," Econometric Reviews, Taylor & Francis Journals, vol. 24(4), pages 405-443.
  8. Blanchard, Olivier J. & Summers, Lawrence H., 1987. "Hysteresis in unemployment," European Economic Review, Elsevier, vol. 31(1-2), pages 288-295.
  9. Gallant, A. Ronald & Hsieh, David & Tauchen, George, 1997. "Estimation of stochastic volatility models with diagnostics," Journal of Econometrics, Elsevier, vol. 81(1), pages 159-192, November.
  10. Perron, Pierre, 1988. "Trends and random walks in macroeconomic time series : Further evidence from a new approach," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 297-332.
  11. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
  12. Leon-Ledesma, Miguel A, 2002. "Unemployment Hysteresis in the US States and the EU: A Panel Approach," Bulletin of Economic Research, Wiley Blackwell, vol. 54(2), pages 95-103, April.
  13. J. Durbin, 2002. "A simple and efficient simulation smoother for state space time series analysis," Biometrika, Biometrika Trust, vol. 89(3), pages 603-616, August.
  14. Koopman, Siem Jan & Ooms, Marius & Carnero, M. Angeles, 2007. "Periodic Seasonal Reg-ARFIMAGARCH Models for Daily Electricity Spot Prices," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 16-27, March.
  15. Olivier J. Blanchard & Lawrence H. Summers, 1986. "Hysteresis and the European Unemployment Problem," Working papers 427, Massachusetts Institute of Technology (MIT), Department of Economics.
  16. Ka Ming Cheng & Nazif Durmaz & Hyeongwoo Kim & Michael Stern, 2011. "Hysteresis vs. Natural Rate of US Unemployment," Auburn Economics Working Paper Series auwp2011-01, Department of Economics, Auburn University.
  17. Tanaka, Katsuto, 1999. "The Nonstationary Fractional Unit Root," Econometric Theory, Cambridge University Press, vol. 15(04), pages 549-582, August.
  18. Alvarez-Ramirez, Jose & Alvarez, Jesus & Solis, Ricardo, 2010. "Crude oil market efficiency and modeling: Insights from the multiscaling autocorrelation pattern," Energy Economics, Elsevier, vol. 32(5), pages 993-1000, September.
  19. Engelen, Steve & Norouzzadeh, Payam & Dullaert, Wout & Rahmani, Bahareh, 2011. "Multifractal features of spot rates in the Liquid Petroleum Gas shipping market," Energy Economics, Elsevier, vol. 33(1), pages 88-98, January.
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