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A random sample of size 2, Y1 and Y2 is drawn from the the pdf f(y; ) = 2y^2 , 0 < y < 1/,

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

f(y; ) = 2y^2 , 0 < y < 1/,

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

Can you find an alternative unbiased estimator of 1/? for the same sample.

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