# Homework Help: Statistics- unbiased estimator

1. Feb 28, 2010

### Roni1985

1. The problem statement, all variables and given/known data
A random sample of size 2, Y1 and Y2, is drawn from the pdf

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

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

2. Relevant equations

3. 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: Feb 28, 2010
2. Feb 28, 2010

### Roni1985

oh, I got it :\