Given prior density g(μ) and observation X ∼ Poi(μ) , you compute g(μ|x), the posterior density of μ given x. Later you are told that x could only be observed if it were greater than 0. Does this change the posterior density of μ given x?
My answer: I am trying to answer this question, I know that The posterior distribution of θ is the conditional distribution of θ, given x. so, I believe that if x is not changed, the posterior would not change as well. then the answer is that the posterior density won't change but I'm wondering if there is a more convincing way to phrase my answer.