Question: Good day, Please help me with this Statistics problem 9. Ex 9.85 Let Y1, Y2, ..., Y, denote a random sample from the density function

Good day, Please help me with this Statistics problem

Good day, Please help me with this Statistics problem 9. Ex 9.85Let Y1, Y2, ..., Y, denote a random sample from the density

9. Ex 9.85 Let Y1, Y2, ..., Y, denote a random sample from the density function given by f(y |a, 0) = (@)ga ) y-e-x/, y > 0, elsewhere, where a > 0 is known. a Find the MLE 0 of 0. b Find the expected value and variance of 0. (5)5. Let Y1, Y2. ..., Y, denote independent and identically distributed random variables from a power family distribution with parameters a and 0 = 3. Then, as in Exercise 9.43, if a > 0, f(yla) = Jay-1/3", Osys3, lo, elsewhere. Show that E(Y1) = 30/(a + 1) and derive the method-of-moments estimator for a. Also determine if the estimator is unbiased for a. (6)

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