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Testing the CVAR in the Fractional CVAR Model

Testing the CVAR in the fractional CVAR model
Authors: Johansen, Søren; Nielsen, Morten Ørregaard;

Testing the CVAR in the Fractional CVAR Model

Abstract

We consider the fractional cointegrated vector autoregressive (CVAR) model of Johansen and Nielsen (2012a) and show that the likelihood ratio test statistic for the usual CVAR model is asymptotically chi‐squared‐distributed. Because the usual CVAR model lies on the boundary of the parameter space for the fractional CVAR in Johansen and Nielsen (2012a), the analysis requires the study of the fractional CVAR model on a slightly larger parameter space so that the CVAR model lies in the interior. This in turn implies some further analysis of the asymptotic properties of the fractional CVAR model.

Country
Denmark
Keywords

cointegration, Cointegration, ddc:330, Asymptotic properties of parametric tests, Fractional processes, including fractional Brownian motion, Faculty of Social Sciences, likelihood inference, Time series, auto-correlation, regression, etc. in statistics (GARCH), /dk/atira/pure/core/keywords/FacultyOfSocialSciences, Cointegration, fractional integration, likelihood inference, vector autoregressive model, vector autoregressive model, fractional integration, C32

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    19
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Top 10%
Top 10%
Top 10%
Green
bronze
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