Let Y 1 , Y 2 , , Y n be a random sample from the uniform pdf f Y (y ) 1 , 0 y Compare the Cramr Rao lower bound for f Y (y ) with the variance of the unbiased estimator n 1 n Y max Discuss

Question: Let Y 1 , Y 2 , . . . , Y n be a random sample from the uniform pdf f Y (y; )

Let Y₁, Y₂, . . . , Y_n be a random sample from the uniform pdf f_Y(y; θ) = 1/θ, 0 ≤ y ≤ θ. Compare the Cramér-Rao lower bound for f_Y(y; θ) with the variance of the unbiased estimator ˆθ = n + 1/n・ Y_max. Discuss.

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