Take the Pareto density f (x j ) x1 for x 1 and
Question:
Take the Pareto density f (x j ®) Æ
®
x®Å1 for x È 1 and ® È 0.
(a) Find the conjugate prior ¼(®). (This may be tricky.)
(b) Find the posterior ¼(® j X) given a random sample.
(c) Find the posterior mean b®
Bayes.
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