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normal wishart

Posted: Tue Jul 14, 2020 11:24 am
by gerluc
hello. when running a normal wishart bayesian var, why is it not possible anymore in EViews11 to set prior for Lambda1?

Re: normal wishart

Posted: Tue Jul 14, 2020 11:31 am
by EViews Gareth
It doesn't exist in the Normal-Wishart prior. It is "replaced" by the C hyper parameters.

Re: normal wishart

Posted: Tue Jul 14, 2020 11:36 am
by gerluc
what do you mean by "replaced"? In what sense? please elaborate. thank you

Re: normal wishart

Posted: Tue Jul 14, 2020 11:38 am
by EViews Gareth

Re: normal wishart

Posted: Tue Jul 14, 2020 11:44 am
by gerluc
is it because of the H kronecker product Sigma for the prior in beta in equation (44.18)?

Re: normal wishart

Posted: Tue Jul 14, 2020 12:03 pm
by EViews Gareth
Equations 44.18 through 44.22 have no lambdas. But in previous versions of EViews we abused notation by using lambda instead of C in 44.22.

Re: normal wishart

Posted: Tue Jul 14, 2020 12:21 pm
by gerluc
C3 is the degrees of freedom parameter. Is that too high to be a prior variance for mu1?

Re: normal wishart

Posted: Tue Jul 14, 2020 1:02 pm
by gerluc
Or, should i take the inverse of C3 to obtain prior variance of Mu1?

Re: normal wishart

Posted: Tue Jul 14, 2020 1:50 pm
by gerluc
What does S scale and V scale mean in the dialog box?

Re: normal wishart

Posted: Tue Jul 14, 2020 1:57 pm
by EViews Gareth
Its a description of what C1 and C2 are.

Re: normal wishart

Posted: Tue Jul 21, 2020 8:14 am
by gerluc
Hi Gareth,

Let me come back to this topic. On equation 44.22, page 807 of the Eviews11 manual to obtain the covariance terms of a normal wishart, how come the C1 hyperparameter is not found in the three equations? Should H_inverse of NW = C1*I (identity with dimension k), and not as presented in that same equation?

Re: normal wishart

Posted: Tue Jul 21, 2020 8:53 am
by EViews Gareth
Ah, that's a typo.

The first line should be C1, the second line should be C2 and the third should be C3. Apologies.

Re: normal wishart

Posted: Tue Jul 21, 2020 8:57 am
by EViews Gareth
hyper.jpg
hyper.jpg (5.72 KiB) Viewed 16223 times

Re: normal wishart

Posted: Tue Jul 21, 2020 10:02 am
by gerluc
Thanks, Gareth. Makes more sense now.