(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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]

2. Relevant equations

3. 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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# Homework Help: Statistics- unbiased estimator

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