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## Homework Statement

A random sample of size 2, Y

_{1}and Y

_{2}, is drawn from the pdf

f

_{Y}(y;[tex]\vartheta[/tex])=2y*[tex]\vartheta[/tex]

^{2}, 0<y< 1/ [tex]\vartheta[/tex]

What must c equal if the statistic c(Y

_{1}+2Y

_{2}) is to be an unbiased estimator for 1 / [tex]\vartheta[/tex]

## Homework Equations

## The Attempt at a Solution

I tried to find the E[c(Y

_{1}+2Y

_{2})] but don't really know how to reach 1 / [tex]\vartheta[/tex]

There is also the equation of the Y

_{max}

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

Thanks.

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