Regression model

Najpreče najmanje kvadrata (OLS)

Najpreče najmanje kvadrata (OLS) je kanonična metoda za procenu parametara linearnog regresionog modela minimizovanjem zbira kvadrata razlika između opserviranih i predviđenih vrednosti. Prvi put objavljen od strane Adrien-Marie Legendre-a 1805. godine i nezavisno razvijen od strane Carl Friedrich Gauss-a (koji je tvrdio prioritet od 1795.), OLS je dokazano optimalan prema Gauss-Markov teoremi: pod datim pretpostavkama, daje Najboljeg Linearnog Ne-pristrasnog Estimatota (BLUE) regresionih koeficijenata.

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Izvori

  1. Legendre, A.-M. (1805). Nouvelles méthodes pour la détermination des orbites des comètes. Firmin Didot, Paris. [Appendix: Sur la Méthode des moindres quarrés, pp. 72–80.] link
  2. Gauss, C. F. (1809). Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Perthes & Besser, Hamburg. link
  3. Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
  4. Greene, W. H. (2018). Econometric Analysis (8th ed.). Pearson. ISBN: 978-0134461366

Kako citirati ovu stranicu

ScholarGate. (2026, June 3). Ordinary Least Squares Regression. ScholarGate. https://scholargate.app/sr/statistics/ordinary-least-squares

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Citirana u

ScholarGateOrdinary Least Squares (Ordinary Least Squares Regression). Preuzeto 2026-06-15 sa https://scholargate.app/sr/statistics/ordinary-least-squares · Skup podataka: https://doi.org/10.5281/zenodo.20539026