Question: Let X1, X2, . . . , Xn be a random sample from a distribution with pdf f(x; ) = x1, 0 (a) Find a

Let X1, X2, . . . , Xn be a random sample from a distribution with pdf f(x; θ) = θxθˆ’1, 0 (a) Find a sufficient statistic Y for θ.
Let X1, X2, . . . , Xn be a

(b) Show that the maximum likelihood estimator is a function of Y. (c) Argue that e is also sufficient for .

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