Regression model

Generalizovani metod najmanjih kvadrata (GLS)

Generalizovani metod najmanjih kvadrata (GLS) je estimator za linearnu regresiju koji proširuje običan metod najmanjih kvadrata (OLS) kako bi se obuhvatile situacije u kojima su greške korelirane ili imaju nekonstantnu varijansu (heteroskedastičnost). GLS, koji je uveo Alexander Craig Aitken 1935. godine, postiže najbolji linearni nepristrasni estimator (BLUE) pod opštom strukturom kovarijanse grešaka, ponderišući opservacije prema njihovoj preciznosti, čime se pruža teorijski most između OLS-a i modernih linearnih mešovitih modela.

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Izvori

  1. Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI: 10.1017/S0370164600014346
  2. Greene, W. H. (2003). Econometric Analysis (5th ed.). Prentice Hall. ISBN: 978-0131108493
  3. Wooldridge, J. M. (2010). Econometric Analysis of Cross Section and Panel Data (2nd ed.). MIT Press. ISBN: 978-0262232586

Kako citirati ovu stranicu

ScholarGate. (2026, June 3). Generalized Least Squares Estimator. ScholarGate. https://scholargate.app/sr/statistics/generalized-least-squares

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Citirana u

ScholarGateGeneralized Least Squares (Generalized Least Squares Estimator). Preuzeto 2026-06-15 sa https://scholargate.app/sr/statistics/generalized-least-squares · Skup podataka: https://doi.org/10.5281/zenodo.20539026