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Please answer all parts to the question below: **I will upvote thanks! (2) Suppose that X1, Xe, ..... X. form a random sample from a

Please answer all parts to the question below: **I will upvote thanks!

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(2) Suppose that X1, Xe, ..... X. form a random sample from a Gamma distribution for which the parameter a is known but B=0 is unknown. Find an efficient estimator for this problem. Explain your answer completely. (6 POINTS) (I) Write the joint pmf / pdf of Xi, Xe, ... X. in simplified form. f. (X | a, 0) = [ITif (X, la, e) = (II) Write out the following function in simplified form. Am (X 10) = In [fn ( X 10)] = (III) Write out the following function in simplified form. A.(X 10) = dA, (X10) (IV) Define the efficient estimator T. T = (V) Write out the following functions in simplified form. u (0) = V (0) =

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