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i_mp in BVAR

Posted: Tue Sep 17, 2013 12:22 am
by BGV
Hi,

To estimate bayesian VAR in Eviews 8 under the Minnesota prior one should specify the value of hyperparameter Mu1 for the prior mean of the VAR parameters. In the user guide the following is stated : theta_0=Mu_1*i_mp, but there is nothing said about the definition of i_mp.

Is the i_mp an identity matrix with mxp dimension? Thus, to shrink VAR to random walk, the Mu_1 should be set at 1, shouldn't it? Is BVAR estimated with OLS? Is there any way to choose optimally the order of BVAR in EViews?

Thank you in advance!

Re: i_mp in BVAR

Posted: Thu Sep 19, 2013 9:16 am
by EViews Gareth
i_mp is defined in the manual as an mp-element unit vector.

Re: i_mp in BVAR

Posted: Fri Sep 20, 2013 4:00 am
by BGV
Hi,

Thank you for your reply!

Just one more question. If I set Mu_1=0 (by default), then are the priors for the first lags of the variables in BVAR set to 0 or are they kept at 1 according to the idea of Minnesota prior?

Please, help, this is somewhat confusing.
Thank you again!

Re: i_mp in BVAR

Posted: Fri Sep 20, 2013 6:37 am
by EViews Gareth
Zero.