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AN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING
Journal of Time Series Analysis, 1980Abstract It has become standard practice for time series analysts to consider differencing their series ‘to achieve stationarity’. By this they mean that one differences to achieve a form of the series that can be identified as an ARMA model.
Granger, C. W. J., Joyeux, Roselyne
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Time‐series forecasting using fractional differencing
Journal of Forecasting, 1994AbstractThe main failure of ARIMA modelling as used in practice are the limiting constraints imposed by differencing to achieve stationarity. The use of fractional differencing opens up a much wider and realistic behaviour for the trend and seasonal components than traditional integer differencing.
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Generalized exponential time differencing for fractional oscillation models
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibrahim Sarumi +2 more
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Design of fractional Hilbert transformer using fractional differencing and different windows
2017 International Conference On Smart Technologies For Smart Nation (SmartTechCon), 2017In this paper, first the fractional Hilbert transformer and window functions are defined along with their properties and then the existing design based on fractional differencing filter is improved by using different window functions. Then the comparison of the phase responses are shown between the existing design and the proposed design using ...
Dharmendra K Upadhyay
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Empirical study of ARFIMA model based on fractional differencing
Physica A: Statistical Mechanics and Its Applications, 2007Abstract In this paper, we studied the long-term memory of Hong Kong Hang Sheng index using MRS analysis, established ARFIMA model for it, and detailed the procedure of fractional differencing. Furthermore, we compared the ARFIMA model built by this means with the one that took first-order differencing as an alternative.
Jin Xiu, Yao Jin
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ON PREDICTION WITH FRACTIONALLY DIFFERENCED ARIMA MODELS
Journal of Time Series Analysis, 1988Abstract. This paper considers some extended results associated with the predictors of long‐memory time series models. These direct methods of obtaining predictors of fractionally differenced autoregressive integrated moving‐average (ARIMA) processes have advantages from the theoretical point of view.
Peiris, M. S, Perera, B. J. C
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An adaptive broadband estimator of the fractional differencing coefficient
2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221), 2002We consider semiparametric fractional exponential (FEXP) estimators of the memory parameter d for a potentially nonstationary linear long-memory time series with smooth additive trend. We use differencing to annihilate the trend, followed by tapering to handle the potential non-invertibility of the differenced series. We propose a method of pooling the
Clifford M. Hurvich +2 more
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