Question: 8.1 4 Let Y; , Y2, . . . , Y denote arandom sample of size n from a population whose density is given by

8.1 4 Let Y; , Y2, . . . , Y denote arandom sample of size n from a population whose density is given by OffVG\". 0 S y 5 9. 0, elsewhere, fly) ={ where a: > 0 is a known, xed value, but 6 is unknown. (This is the power family distribution introduced in Exercise 6.17.) Consider the estimator 5 = maxt'YI , Y2, . . . , Y\"). (2 points) a Show that g is a biased estimator for 6. (1 point) b Find a multiple of 6" that is an unbiased estimator of 6. (2 points) C Derive MSE()

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