Am 05.01.2025 um 23:54 schrieb Δημήτρης Μπριλάκης:
 Thanks for the reply. The problem is that I need the funcionality of
 forecast menu of the program like UCL, LCL in a "good" plot.
 In some packages, like SPSS the re-transformation is given from the 
 software and is supposed that the log model iw evaluated along with 
 the non-log models. 
Hi Dimitris and other interested,
a little update on this: I've updated my contributed function package 
"uniFCextensions" to version 1.2 which now offers the possibility to 
produce (three different) consistent forecasts of the levels if the 
model was estimated with the log on the LHS.
However, this does not cover ARMA models, only dynamic linear OLS 
(including AR terms, obviously). Parameter or model uncertainty are not 
taken into account, either. (I mention this because of the previously 
cited remark by BÅRDSEN, G. & LÜTKEPOHL, H. (2011) in a slightly 
different context that the naive exp-ing of the log forecast might be OK 
then.)
Feel free to ask if anything remains unclear.
cheers
sven