## Properties of VAR Residuals

Questions and discussions on Vector Autoregressions

### Properties of VAR Residuals

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
AhmedSahlool

Posts: 24
Joined: Tue Jul 05, 2011 5:57 am

### Re: Properties of VAR Residuals

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 (http://www.estima.com/forum/viewtopic.php?f=7&t=1316) does the multivariate Q test for autocorrelation (which includes both self and cross)

@MVJB (http://www.estima.com/forum/viewtopic.php?f=7&t=1314) 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.
TomDoan

Posts: 2724
Joined: Wed Nov 01, 2006 5:36 pm

### Re: Properties of VAR Residuals

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
AhmedSahlool

Posts: 24
Joined: Tue Jul 05, 2011 5:57 am

### Re: Properties of VAR Residuals

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 (http://www.estima.com/forum/viewtopic.php?f=7&t=1458) 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.
TomDoan

Posts: 2724
Joined: Wed Nov 01, 2006 5:36 pm