I assumed the question was “I have two endpoints of several intervals but that’s not enough to combine intervals”. My answer is “assume uniform over some natural scale”. If the actual question is “I don’t know how to combine distributions, help” then I think my answer is “if you don’t already know the answer then probably you should simulate and if you can’t do that then I guess use Guesstimate because anything else will take too much scaffolding to reasonably learn”.
I assumed the question was “I have two endpoints of several intervals but that’s not enough to combine intervals”. My answer is “assume uniform over some natural scale”
My point is precisely that “[...] for combining estimates [...] assume a uniform distribution over some natural scale” doesn’t accomplish your stated goal of being able to combine estimates.
I assumed the question was “I have two endpoints of several intervals but that’s not enough to combine intervals”. My answer is “assume uniform over some natural scale”. If the actual question is “I don’t know how to combine distributions, help” then I think my answer is “if you don’t already know the answer then probably you should simulate and if you can’t do that then I guess use Guesstimate because anything else will take too much scaffolding to reasonably learn”.
My point is precisely that “[...] for combining estimates [...] assume a uniform distribution over some natural scale” doesn’t accomplish your stated goal of being able to combine estimates.