Sorry, let me correct my last email.

There isn't in restriction in the name of database by oracle.
The name can be T1-TEST. ( I am not sure about starting name with digit).

and the script for statistics is
exec dbms_stats.gather_schema_stats(ownname=>'"T1-TEST"');
I checked that and is working fine.

My problem that may be I didn't describ it correctly is import schema doesn't update the statistics and the Last-Analyzed column in EM is empty after importing. and I should do the statistics manually to have it.

This problem is new for me, I experinced so many import and export and before applying the patch (I am not sure there is any correlation between them) the import doesn't update the statistics of schema tables.

That's the problem.