I think I may have found a new class of probability distributions on the unit interval. This class is a conjugate family (with an intuitive but nonstandard notion of "conjugate" that's conceptually related to the regular one). I need this class for a model in a paper on an applied topic, but it could be of broader use to statisticians and economists. This class is not that difficult to derive (once you know what you're looking at), requiring nothing but high school algebra and a little bit of calculus, which is why I am almost certain that someone discovered it a million years ago - but I have no idea where to look!
The questions are as follows -
1) How to confirm that no one else discovered this, or find its name? Is there an up to date catalog somewhere?
2) In the unlikely case that it is a novelty, which journal would be appropriate, given that it's not a "hard" discovery, but potentially broadly useful (targeting economists and statisticians)?