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This forum is closed. You can read the posts but cannot write. We have migrated the forum to a new location (https://forum.dynare.org) where you will have to reset your password.
In which context do you want the Poission process? As an exogenous shock? (Most probably the answer will be that it is not possible to do this in Dynare)
Could you please elaborate what exactly you have in mind. In the context of simult_ you can in principle provide random numbers from any distribution to Dynare.