Hello,

I'm facing some issues to understand the solution which is described here in a very short way. Can someboday please describe step - by - step the idea behind the solutions for subtask a,b and c.

I have to solve exactly the same task but with different parameters:

Let ₁, ₂, ..., ₁₀ be a random sample from a gamma distribution with = 3 and = 1/. Suppose we believe that follows a gamma-distribution with = 17 and = 72 and suppose we have a trial (₁ , ... , ) with an observed = 39.29

a) Find the posterior distribution of .

b) What is the Bayes point estimate of associated with the square-error loss function?

c) What is the Bayes point estimate of using the mode of the posterior distribution?