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I have done part i and ii, and I am stuck on part iii.

How do I show it is an unbiased estimator?

Thanks.

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- May 17th 2011, 09:05 AMqwerty1234Unbiased estimator
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I have done part i and ii, and I am stuck on part iii.

How do I show it is an unbiased estimator?

Thanks. - May 17th 2011, 09:28 AMSpringFan25
find its expected value. it should be $\displaystyle \alpha + 10\beta$.

If you want more detail than that, tell us what your proposed estimator is. - May 27th 2011, 09:04 PMmatheagle
use $\displaystyle \hat\alpha +10\hat\beta$ where

$\displaystyle \hat\alpha,\hat\beta$ are the usual estimators of $\displaystyle \alpha,\beta$