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QUESTION 6 Let Y., Y. , Yn denote a random sample of size n from a population whose density is given by , Yn) and θ2 = Ỹ. Two estimators for θ are θ,-nY(1) where Y(1)-min (h, ½, (a) Show that θ1 and θ2 are both unbiased estimators of θ (b) Find the efficiency ofa relative to θ2.

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