Consider a random sample X1, X2, , Xn from a distribution with pdf Let have a prior pdf that is gamma with 4 and the usual 1 4 Find the conditional mean of , given that X1 x1, X2 x2, , Xn xn f(x 8) 30xe r 0

Question: Consider a random sample X1, X2, . . . , Xn from a distribution with pdf Let have a prior pdf that is gamma

Consider a random sample X1, X2, . . . , Xn from a with pdf

Let Î¸ have a prior pdf that is gamma with Î± = 4 and the usual Î¸ = 1/4. Find the conditional mean of Î¸, given that X1 = x1, X2 = x2, . . . , Xn = xn.

f(x|8) = 30xe-r. 0

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