It actually an easy process.
Start wet sanding with 1000 grid. Then move up to 1500 grid. I went to 3000 grid. I used 3M wet paper.
Folllow this by a good polish / cleaner like Megs Plastic X. I used my DA polisher - but I could take a whiledoing it by hand. I applied Plast X quite a few times to get the desired results.
Check out this link
Astra Headlight Restoration - Detailing 101 - Meguiar's South Africa