This may sound inaccurate, but has worked better than anything for us... dig a hole about 1' and put vegetable scrap, leaves, or small sticks in it and cover with dirt. We have an 4'x4' area that we do this in, so it gets moved around some/stirred. Everything breaks down fast and we have many big fat worms. I am not sure, though, what we will do in the winter when the gound is frozen.
We tried a couple of other methods with minimal success: putting compost into a box frame created from packing pallettes- this was part of our house when we bought it, and it was not easy for me to access because it was tall. I could not stir or move around the contents. Most stuff took monthes to breakdown. Another thing we tried was putting veggie scraps into a bin, and then hassling it with a pitchfork. This was gross, stuff was stinky, and it took so long to break down. Plus it attacked flies, raccoons, and chipmucks, who would open the lid and make a mess.