Question: 4. Suppose that K, . . . ,Yn are a random sample from a population having common density function 2 y yl') = exp{-yf9}, y

4. Suppose that K, . . . ,Yn are a random

4. Suppose that K, . . . ,Yn are a random sample from a population having common density function 2 y yl') = exp{-yf9}, y > 0, where I? > U is a parameter. (a) Compute the Fisher information 1(3) in a single observation from this population. (b) Find a multiple of i7 that is an unbiased estimator of 3. Call that estimator ii, and then use the CramrRao inequality to carefully verify that S is the minimum variance unbiased estimator of H

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