EconPapers    
Economics at your fingertips  
 

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 = E t 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)
Date: 2019-01
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed

Downloads: (external link)
https://www.nottingham.ac.uk/research/groups/grangercentre/documents/19-01.pdf (application/pdf)

Related works:
Working Paper: Resuscitating the co-fractional model of Granger (1986) (2019) Downloads
This item may be available elsewhere in EconPapers: Search for items with the same title.

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.
Bibliographic data for series maintained by ().

 
Page updated 2019-09-21
Handle: RePEc:not:notgts:19/01