Question: Suppose that X1, . . . , Xn form a random sample from the uniform distribution on the interval [0, ], where the value of

Suppose that X1, . . . , Xn form a random sample from the uniform distribution on the interval [0, θ], where the value of the parameter θ is unknown; and let Yn = max(X1, . . . , Xn). Show that [(n + 1)/n]Yn is an unbiased estimator of θ.

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