check if estimation is unbiased?
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Assume we that we calculate the expected value of some measurements $x=dfrac {x_1 + x_2 + x_3 + x_4} 4$. what if we dont include $x_3$ and $x_4$, but instead we use $x_2$ as $x_3$ and $x_4$. Then We get the following expression $v=dfrac {x_1 + x_2 + x_2 + x_2} 4$. How do I know if $v$ is a unbiased estimation of $x$? I am not sure how to approach this problem, any ideas are appreciated!
statistics estimation-theory parameter-estimation
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edited Dec 7 '15 at 11:55
dumble24