X-12-Arima v.03 documentations explain backcast. Just don't ask me how to do
it ;)
2008/4/4, Thomas La Bone <labone(a)gforcecable.com>:
 I am working on a problem where I want to backcast a time series, i.e.,
 forecast into the past to a time before the measurements of the times series
 were available.
 None of the software packages I have access to (including Gretl) appear to
 offer an explicit backcasting option. I have read that a stationary time
 series is time-invariant, i.e., it has the same properties forwards and
 backwards in time. So, when I go to backcast the data is it valid to analyze
 the data in Gretl in reverse order and just do a regular forecast?
 Tom
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