Posterior Mode v.s. Posterior Mean

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Posterior Mode v.s. Posterior Mean

Postby fuyangzhao » Sun Nov 06, 2016 12:28 pm

Hi Professor,
In dynare reference manuel, it is said that
After running estimation, the parameters M_.params and the variance matrix M_.Sigma_e of the shocks are set to the mode for maximum likelihood estimation or posterior mode computation without Metropolis iterations.
After estimation with Metropolis iterations (option mh_replic > 0 or option load_mh_file set) the parameters M_.params and the variance matrix M_.Sigma_e of the shocks are set to the posterior mean.


However, I want to get the estimation output
Code: Select all
 oo_.PosteriorIRF.dsge.HPDinf/sup
where M_.params and M_.Sigma_e are set to the posterior mode ...Is that possible?

Or, is the estimation output
Code: Select all
 oo_.PosteriorIRF.dsge.HPDinf/sup
the same no matter M_.params and M_.Sigma_e are set to the posterior mode or to the posterior mean?
fuyangzhao
 
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Re: Posterior Mode v.s. Posterior Mean

Postby jpfeifer » Sun Nov 06, 2016 6:13 pm

The question is not well-defined.
Code: Select all
HPDinf/sup

is a "confidence band" across parameters. You cannot compute the variability of IRFS across parameters if you fix the parameters.
------------
Johannes Pfeifer
University of Cologne
https://sites.google.com/site/pfeiferecon/
jpfeifer
 
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