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Option smoother

PostPosted: Thu May 18, 2006 12:07 pm
by jmaih
Dear Michel,
How does the option smoother work with MLE? If you don't use the option, the output of oo_ is

mle_mode
mle_std
SmoothedVariables
FilteredVariables
SmoothedShocks

If you use the option, all you get is

mle_mode
mle_std

Is it possible to get some HPDinf and HPDsup with MLE?

Thanks,
Junior

Re: Option smoother

PostPosted: Fri May 19, 2006 8:28 am
by StephaneAdjemian
jmaih wrote:Is it possible to get some HPDinf and HPDsup with MLE?

Thanks,
Junior


Hi Junior,

You should get the smoothed shocks as an output of the maximum likelihood estimation, but you cannot have HPDinf and HPDsup in this case because these intervals are computed from the metropolis hastings. We may add asymptotic confidence bands (or bootstraped confidence bands) in the case of a maximum likelihood estimation...

If you really need such intervals you may follow the bayesian approach (with a metropolis) using uniform priors over all the parameters, this will be equivalent to a constrained ML approach, and the intervals will be exact at finite distance.

Best,
St

PostPosted: Fri May 19, 2006 1:45 pm
by jmaih
Thanks a lot Stephane!

Junior