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Define the GLS estimator and discuss its properties when Ω is known.Why is this estimator sometimes called infeasible GLS? What happens when Ω is unknown? What would the Ω matrix look like for the case of independent sampling with heteroskedastic errors,where var(ui Xi)= ch(Xi)= σ2
? Since the inverse of the error variance-covariance matrix is needed to compute the GLS estimator,find Ω-1.The textbook shows that the original model Y = Xβ + U will be transformed into
= FU,and
F = Ω-1.Find F in the above case,and describe what effect the transformation has on the original data.
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