Automating simulation in cadence virtuso
Cadence icfb comes with a built in scripting language called "ocean" that I would use for this. You can export an ocean script describing your circuit from within ADE, then wrap it in a loop that varies the input and VDD as you wish. At the end of each run through the loop you measure the output and write it to a file. Once it has run 1000 times you should end up with what you want. The ocean documentation should ship with your Cadence installation, and there's a nice introductory video here:

https://www.youtube.com/watch?v=6hrfdK3bP-Y