Question: 40. Let 8 = (81 , 8s ) with 8; real-valued, X have density Po (x), and e a prior density 71'(8). Then

40. Let 8 = (81 " " , 8s ) with 8; real-valued, X have density Po (x), and e a prior density 71'(8). Then the l00y% HPD region is the l00y% credible region R that has minimum volume. [Apply the Neyman-Pearson fundamental lemma to the problem of minimizing the volume of R.]

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