Let Y₁, Y2, ..., Y₁ denote a random sample of size n from a population whose density is given by [αya-1/0⁰, 0≤ y ≤ 0, elsewhere, ro=lo = - where a > 0 is a known, fixed value, but is unknown. (This is the power family distribution introduced in Exercise 6.17.) Consider the estimator Ô = max(Y₁, Y₂, ..., Yn). a Show that Ô is a biased estimator for 0. b Find a multiple of ô that is an unbiased estimator of 0. C Derive MSE(Ô).

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Q: Jx (x) = P(1- P) X=1,2,3,.... F, (y,) = ? Fy, (y,) = ? P(Y, <1)=? а. b. С.

A: