Question: Q5. A random sample X1, X2, ..., Xn is drawn from a Pareto population with pdf f (x; 0, v) = 2041 : 2

Q5. A random sample X1, X2, ..., Xn is drawn from

Q5. A random sample X1, X2, ..., Xn is drawn from a Pareto population with pdf f (x; 0, v) = 2041 : " 2 0, 0 > 0, v > 0. (a) Find the MLE of 0 and v. (b) Perform a LRT of Ho : 0 = 1, v is unknown, versus H1 : 0 # 1, v is unknown. Show that the critical region of the test is of the form {T(x) c2}, where 0

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