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The fractional integrated bi- parameter smooth transition autoregressive model

Author

Listed:
  • Ghassen El Montasser

    (Ecole Supérieure de Commerce de Tunis, Université de Manouba)

  • Ahdi Noomen Ajmi

    (Laboratoire BESTMOD, Institut Supérieur de Gestion, Université de Tunis)

Abstract

This paper introduces the fractionally integrated Bi-parameter smooth transition autoregressive model (FI-BSTAR model) as an extension of BSTAR model proposed by Siliverstovs (2005) and the fractionally integrated STAR model (FI-STAR model) proposed by van Dijk et al. (2002). Our FI-BSTAR model is able to simultaneously describe persistence and asymmetric smooth structural change in time series. An empirical application using monthly growth rates of the American producer price index is provided.

Suggested Citation

  • Ghassen El Montasser & Ahdi Noomen Ajmi, 2012. "The fractional integrated bi- parameter smooth transition autoregressive model," Economics Bulletin, AccessEcon, vol. 32(1), pages 755-765.
  • Handle: RePEc:ebl:ecbull:eb-11-00630
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    References listed on IDEAS

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    1. Granger, Clive W J, 1993. "Strategies for Modelling Nonlinear Time-Series Relationships," The Economic Record, The Economic Society of Australia, vol. 69(206), pages 233-238, September.
    2. Eitrheim, Oyvind & Terasvirta, Timo, 1996. "Testing the adequacy of smooth transition autoregressive models," Journal of Econometrics, Elsevier, vol. 74(1), pages 59-75, September.
    3. Anderson, Heather M, 1997. "Transaction Costs and Non-linear Adjustment towards Equilibrium in the US Treasury Bill Market," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 465-484, November.
    4. Smallwood Aaron D, 2005. "Joint Tests for Non-linearity and Long Memory: The Case of Purchasing Power Parity," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(2), pages 1-30, June.
    5. Ahdi Ajmi & Adnen Ben Nasr & Mohamed Boutahar, 2008. "Seasonal Nonlinear Long Memory Model for the US Inflation Rates," Computational Economics, Springer;Society for Computational Economics, vol. 31(3), pages 243-254, April.
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    More about this item

    Keywords

    Long Memory; Nonlinearity; Asymmetry; STAR models.;
    All these keywords.

    JEL classification:

    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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