Question: 3. [10 points] Consider the density function f(x) = Aa'lx'a') for x 2 a and 0 otherwise, where 11 and a are positive numbers. You

$3. [10 points] Consider the density function f(x) = Aa'lx'a'\") for$

3. [10 points] Consider the density function f(x) = Aa'lx'a'\") for x 2 a and 0 otherwise, where 11 and a are positive numbers. You are given i.i.d. sample X1, , X n. (a) Suppose the parameter a is given. Find the maximum likelihood estimator of 11. You may express your answer in terms of a. (b) Suppose now the parameter a is not given. Find the maximum likelihood estimators of both A and a

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