Question: Let X =(X1,X2,...,Xn) be a random sample from the density f(x;) = 2x exp x2 , x > 0, where > 0 is the unknown

Let X =(X1,X2,...,Xn) be a random sample from the density f(x;) = 2x exp x2 , x > 0, where > 0 is the unknown parameter. The conjugate prior for is the inverse gamma IG(,) with density () = () 1 1 exp , >0, where and are positive constants. (a) Find the posterior distribution h(|X)

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