Let Y 1 , Y 2 , , Y n be a random sample of size n from the pdf f Y (y ) y 1 , 0 y 1 Use Theorem 5 6 1 to show that W is a sufficient statistic for Is the maximum likelihood estimator of a function of W

Question: Let Y 1 , Y 2 , . . . , Y n be a random sample of size n from the pdf f Y

Let Y₁, Y₂, . . . , Y_n be a random sample of size n from the pdf f_Y(y; θ) = θ y^θ−1, 0 ≤ y ≤ 1. Use Theorem 5.6.1 to show that W = Let Y1, Y2, . . . , Yn be a random sample is a sufficient statistic for θ. Is the maximum likelihood estimator of θ a function of W?

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