Am 24.11.24 um 12:58 schrieb Brian Revell:
My concept here  of recursive in an Arima model  (2 0 1) for simplicity,  with signifnt coeffcts on all parameters would be
Xft+1=b1Xt+b2Xt-1+gErr t
Xft+2=b1Xft+1 +b2Xt
Xft+3 =b1Xft+2 +b2Xft+1      etc

ie the forecasts are endogenous.
Of course with a difference operator in the Arima spec, the forecast equation becomes more complex when multiplied out.

This is recursion (also known as the chain-rule-of-forecasting) is done automatically by gretl if you provide the --dynamic option for the fcast command.

Artur
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