maximum likelihood estimation

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maximum likelihood estimation

Postby alexnomad » Sat Mar 28, 2009 11:21 am

Hello all,
I want to estimate some model by maximum likelihood but some of the variables are exogeneous and I don't want to build an equation for exogeneous variables. Is it possible to estimate by ML without specifying the DGP of exogeneouv variables ?
Thanks in advance
alexnomad
 
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Re: maximum likelihood estimation

Postby StephaneAdjemian » Sat Mar 28, 2009 1:00 pm

This is not possible with Dynare. The likelihood is the density of the sample conditional on the model and its parameters. The likelihood is built from the DGP, consequently we cannot estimate a model without specifying the model for the exogenous variables. Is your exogenous variable latent or observed?

Best, Stéphane.
Stéphane Adjemian
Université du Maine, GAINS and DynareTeam
https://stepan.adjemian.eu
StephaneAdjemian
 
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Re: maximum likelihood estimation

Postby alexnomad » Sat Mar 28, 2009 6:31 pm

thanks Stephane.
My exogeneous variables are observed
alexnomad
 
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Joined: Fri Feb 20, 2009 8:46 pm

Re: maximum likelihood estimation

Postby StephaneAdjemian » Mon Mar 30, 2009 9:02 am

If, the exogeneous variable is, for instance, the price of oil, and if you don't want to write structural equations for this variable, you can still assume an ad hoc autoregressive process (or anything else) for this variable.

Stéphane.
Stéphane Adjemian
Université du Maine, GAINS and DynareTeam
https://stepan.adjemian.eu
StephaneAdjemian
 
Posts: 429
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Location: Paris, France.


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