Among all GLS estimators, Why is the GLS estimator with the true achieves the smallest variance?
Last edited by noob mathematician; Apr 16th 2011 at 08:17 AM.
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It's a consequence of the Gauss-Markov theorem. You just transform the GLS problem by left-multiplying by \Sigma^{1/2} and then apply Gauss-Markov.
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