The most common things that could go wrong on a neon sign are:
A neon section broke
Transformer not working
A burned out neon section.......(neon lights will last for years but eventually they will go out,some sections in a neon sign will last longer than others,so by burned out section i mean a neon section that already lived a long life but unfortunatly has expired.
an Example :
You turn on the sign and it flickers for a second and turns off by itself.
it possible to broken section or burned section.
this solution : You can follow the steps detailed on this page to remove the broken section .if you do not see a broken section then it's possibly a burned section .
To know which section is the burned one , do the dark room test.In a completely dark room you turn your neon sign on and it will flicker , pay attention to the only section that does not flicker , that's your bad unit. you may have to repeat it several times to find the bad one.
Trouble : You turn on the sign and only part of the sign lights up ,and the rest is dimly lit.
maybe it Bad Transformer.
and You can follow the instructions in the replace the transformer.