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Properties of VAR Residuals

Posted: Sat May 19, 2012 10:32 am
by AhmedSahlool
Hi,

I am searching for a procedure that tests the properties of VAR residuals; autocorrelation, normality, cross equations correlation.

I would like to use these properties to detremine the number of lags of the VAR model as I have a limited number of data.

Thank you

Re: Properties of VAR Residuals

Posted: Sat May 19, 2012 4:23 pm
by TomDoan
AhmedSahlool wrote:Hi,

I am searching for a procedure that tests the properties of VAR residuals; autocorrelation, normality, cross equations correlation.

I would like to use these properties to detremine the number of lags of the VAR model as I have a limited number of data.

Thank you
@MVQSTAT does the multivariate Q test for autocorrelation (which includes both self and cross)

@MVJB does a multivariate Jarque-Bera test. Though I wouldn't recommend basing decisions about lag length on the J-B statistic, since adding lags does nothing directly to affect the normality of residuals.

Re: Properties of VAR Residuals

Posted: Sun May 20, 2012 3:42 pm
by AhmedSahlool
The VAR that I estimate has non constant variances.

I read that the MVQSTAT is not consistent in this case, are there other alternatives?

Thank you

Re: Properties of VAR Residuals

Posted: Sun May 20, 2012 5:22 pm
by TomDoan
AhmedSahlool wrote:The VAR that I estimate has non constant variances.

I read that the MVQSTAT is not consistent in this case, are there other alternatives?

Thank you
The West-Cho test will handle the autocorrelations. If you don't have much data, a generalization of that to a multivariate process would probably have rather bad properties.