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Journal of Time Series Econometrics

Editor-in-Chief: Hidalgo, Javier

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A Generalized ARFIMA Model with Smooth Transition Fractional Integration Parameter

Heni Boubaker
  • Corresponding author
  • IHEC of Sousse, B.P. 40, Route de la ceinture-Sahloul III, 4054, Sousse, Tunisia.
  • IPAG LAB, IPAG Business School, 184 boulevard Saint-Germain Paris, France
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Published Online: 2017-07-19 | DOI: https://doi.org/10.1515/jtse-2015-0001


This paper proposes a model of time-varying fractional integration where the long-memory parameter, d, in an ARFIMA model is allowed to depend on t and evolve according to a Smooth Transition Regressive (STR) model advanced by Teräsvirta (1994, 1998) . To estimate the time-varying fractional integration parameter, we suggest a new multi-step estimation method based on the wavelet approach using the instantaneous least squares estimator (ILSE). We conduct some simulation experiments and we find that our estimation iterative procedure performs better than that proposed by Boutahar, Dufrénot, and Péguin-Feissolle (2008). An empirical application of this methodology to the volatility of some financial time series is used for illustration purposes. Finally, it is shown that the model proposed offers an interesting framework to describe long-range dependence in the volatility with heterogeneous persistence.

Keywords: time-varying long memory; local-stationarity; STR model; wavelet; ILSE; financial time series

JEL Classification: C13; C22; C32; G15


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About the article

Published Online: 2017-07-19

Citation Information: Journal of Time Series Econometrics, Volume 10, Issue 1, 20150001, ISSN (Online) 1941-1928, DOI: https://doi.org/10.1515/jtse-2015-0001.

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