Take the antilog of the log{y}=z transformed actual and fitted or forecast
values from the ARIMA model, which if in natural logs will  be EXP(z).
On Sat, 4 Jan 2025, 23:59 Cottrell, Allin, <cottrell(a)wfu.edu> wrote:
 On Sat, Jan 4, 2025 at 2:55 PM <dbrilakis(a)yahoo.gr> wrote:
 >
 > Hi, I found that my data become stationary (after differentiate) the log
 data with best ARIMA(p,d,q)  How do I rebuilt the ARIMA forecast to the
 origina scale before log?
 > Tanks in advance
 There's a standard means of converting from a forecast or fitted value
 of log(y) to that of y itself, if the error term is reckoned to be
 normal, plus some variations on the theme. Dave Giles has quite a nice
 discussion of the point: see
 
https://davegiles.blogspot.com/2014/12/s.html
 Allin Cottrell
 _______________________________________________
 Gretl-users mailing list -- gretl-users(a)gretlml.univpm.it
 To unsubscribe send an email to gretl-users-leave(a)gretlml.univpm.it
 Website:
 
https://gretlml.univpm.it/postorius/lists/gretl-users.gretlml.univpm.it/