Suppose that you have prior beliefs about an unknown quantity which can be approximated by an N(,) distribution, while my beliefs can be approximated by an N(,) distribution Suppose further that the reasons that have led us to these conclusions do not overlap with one another What distribution shou...

When combining the beliefs or information from two individuals it is common to use the concept of Ba ...

Suppose that you have prior beliefs about an unknown quantity which can be approximated by an

Question:

Suppose that you have prior beliefs about an unknown quantity θ which can be approximated by an N(λ,ϕ) distribution, while my beliefs can be approximated by an N(μ,ψ) distribution. Suppose further that the reasons that have led us to these conclusions do not overlap with one another. What distribution should represent our beliefs about θ when we take into account all the information available to both of us?

Fantastic news! We've Found the answer you've been seeking!