 Resuscitating the co-fractional model of Granger (1986)Federico Carlini and Paolo Santucci de Magistris Discussion Papers from University of Nottingham, Granger Centre for Time Series Econometrics Abstract: We study the theoretical properties of the model for fractional cointegration proposed by Granger (1986), namely the FVECM d,b. First, we show that the stability of any discrete time stochastic system of the type II(L)Yt = Et can be assessed by means of the argument principle under mild regularity condition on II (L) where L is the lag operator. Second, we prove that, under stability, the FVECMd,b allows for a representation of the solution that demonstrates the fractional and co-fractional properties and we find a closed-form expression for the impulse response functions. Third, we prove that the model is identifed for any combination of number of lags and cointegration rank, while still being able to generate polynomial co-fractionality. Finally, we show that the asymptotic properties of the maximum likelihood estimator reconcile with those of the FCVARd,b model studied in Johansen and Nielsen (2012). Keywords: Fractional cointegration; Granger representation theorem; Stability; Identification; Impulse Response Functions; Profile Maximum Likelihood (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:not:notgts:19/01 Access Statistics for this paper More papers in Discussion Papers from University of Nottingham, Granger Centre for Time Series Econometrics School of Economics University of Nottingham University Park Nottingham NG7 2RD. Contact information at EDIRC. |
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