Question: A random sample of size 2, Y 1 and Y 2 , is drawn from the pdf f Y (y; ) = 2y 2 ,

A random sample of size 2, Y1 and Y2, is drawn from the pdf

fY(y; θ) = 2yθ2, 0 < y < 1/θ

What must c equal if the statistic c(Y1 + 2Y2) is to be an unbiased estimator for 1/θ?

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