Solution Found!
Consider a random sample X1, X2, ... , Xn from a distribution with pdf f(x
Chapter 6, Problem 6.8-4(choose chapter or problem)
QUESTION:
Consider a random sample X1, X2, ... , Xn from a distribution with pdf f(x | ) = 3x2ex3 , 0 < x < . 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.
Questions & Answers
QUESTION:
Consider a random sample X1, X2, ... , Xn from a distribution with pdf f(x | ) = 3x2ex3 , 0 < x < . 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.
ANSWER:Step 1 of 2
Given that,
A random sample 
Let
It is required to find the conditional mean of 
