Take the exponential density f (x j ) 1 exp x for
Question:
Take the exponential density f (x j ¸) Æ 1
¸ exp
¡
¡x
¸
¢
for ¸ È 0.
(a) Find the conjugate prior ¼(¸).
(b) Find the posterior ¼(¸ j X) given a random sample.
(c) Find the posterior meanb¸
Bayes.
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