Question: Take the Poisson density f (x j ) ex x! for 0. (a) Find the conjugate prior (). (b) Find the posterior

Take the Poisson density f (x j ¸) Æ

e¡¸¸x 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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