Statistics- unbiased estimator

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Homework Statement


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

fY(y;\vartheta)=2y*\vartheta2, 0<y< 1/ \vartheta

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

Homework Equations





The Attempt at a Solution



I tried to find the E[c(Y1+2Y2)] but don't really know how to reach 1 / \vartheta

There is also the equation of the Ymax

maybe I should set them equal ? but how to get rid of Y1 and Y2 ?

Thanks.
 
Last edited:
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oh, I got it :\
 

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