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Quantitative Finance · Glosarium

Apa itu Weighted and generalised least squares?

Dikenal juga sebagai: weighted least squares · generalised least squares

Definition 16.8 Quantitative Methods · Bab 16 — Linear Models under Stress

Weighted least squares minimises ∑iwi(yi−xi⊤β)2\sum_iw_i(y_i - x_i^\top\beta)^2, with weights inversely proportional to the variance of each observation’s error. Generalised least squares minimises (y−Xβ)⊤Ω−1(y−Xβ)(y - X\beta)^\top\Omega^{-1}(y - X\beta) for an error covariance Ω\Omega; it is OLS after multiplying the model by Ω−1/2\Omega^{-1/2}, and it is the efficient linear unbiased estimator when Ω\Omega is known.

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