On Sat, 23 Nov 2024, Brian Revell wrote:

> Is there any reason why recursive forecasts cannot be generated and
> included in the ARIMA option for univariate modelling forecasts (together
> with their confidence intervals ) when no exogenous variables have been
> included in the specification  Clearly post sample data the MA terms would
> drop out.

Brian, do you mean "recursive" in the specific sense used in the
doeumentation for gretl's "fcast" command -- with re-estimation of the
model specification on a progressively expanding sample at each time
step?

I ask because with ARIMA (without stochastic exogenous terms) a
"dynamic" forecast can proceed out of sample, and is recursive in the
more general sense of employing the chain rule of forecasting. As in,
for example,

open data9-7.gdt
dataset addobs 10
arima 1 0 1 ; QNC
fcast 1991:1 1993:2 --plot=display

Allin
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