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Prove That Under the Extended Least Squares Assumptions the OLS β^\hat { \beta}

Question 38

Essay

Prove that under the extended least squares assumptions the OLS estimator β^\hat { \beta} is unbiased and that its variance-covariance matrix is σu2\sigma _ { u } ^ { 2 } (X'X)-1.

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Start the proof by relating the OLS esti...

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