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In: Statistics and Probability

Let Y1, ..., Yn be a random sample with the pdf: f(y;θ)= θ(1-y)^(θ-1) with θ>0 and...

Let Y1, ..., Yn be a random sample with the pdf:
f(y;θ)= θ(1-y)^(θ-1) with θ>0 and 0<y<1.

i) Obtain the minimum variance unbiased estimator ( for θ)

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