I agree with about everything Stan said, and also agree with Salopian about the lack of good information on improving trigger pulls on shotguns. I too have a pretty extensive library of gunsmithing books, and several go into some detail on doing trigger jobs and adjustments on revolvers and pistols or bolt action rifles, but very little is said about our doubles. I've worked on a lot of them, and had the good fortune to learn while still in high school just how dangerous it can be if you screw up. That happened when I adjusted the sear engagement on my Model 700 Remington groundhog rifle, and was proud of how much lighter I was able to make the pull. My pride went out the window when I was trying a new load at the range, and the gun went off as soon as I closed the bolt. I was there alone, and no-one witnessed my screw-up, but I shuddered when I realized my lack of knowledge could just have easily led to me accidentally shooting someone I was hunting with. Even a lot of so-called gunsmiths have no business working on triggers, as I learned when my uncle finally retired an old double that kept right on doubling after several trips to different local gunsmiths. That gun was part of the reason my Dad, uncles, and cousins all preferred pumps and semi's.
I'd imagine that the greatest percentage of old guns that tend to double is due to wear of improperly hardened sears and sear notches. But I'd guess that there are quite a few that were actually made worse by someone who didn't have the correct tools or knowledge, but attempted to fix them anyway. There are many factors that dictate or affect trigger pull including original design, geometry, the sear angles, the strength of hammer and trigger spring tension that must be overcome or released, and the hardness and microscopic smoothness of the sear surfaces and bearing points. Really good trigger smith's who may specialize in certain brands or guns will often use specialized jigs so they can see what's happening to make certain their sear angles are perfect, neither camming a hammer back slightly against the main spring before release, or having an incorrect angle that could lead to an accidental discharge. They may lighten springs without going light enough to cause misfires and light primer strikes. Take too much off of the thin skin of a case hardened sear, and you have just created a future problem when the softer steel underneath quickly wears, The work calls for the correct tools and polishing stones, and the precision of a watchmaker. But a watchmaker doesn't have to be concerned about someone getting killed if he screws up. For doing this type of work on one, two, or three guns, the investment in time, tools, books, Optivisors, etc. probably won't be justified over paying a good pro to do it, even if you have the talent and patience to learn through practice. An L.C. Smith lock, without an intercepting sear, can be particularly dangerous if you do it wrong:
http://www.hallowellco.com/intercepting_sear.htm