Vertaile menetelmiä

	Yleistetty pienimmän neliösumman menetelmä (GLS)	OLS-regressio (Ordinary Least Squares)
Tieteenala	Tilastotiede	Ekonometria
Menetelmäperhe	Regression model	Regression model
Syntyvuosi	1935	2019
Kehittäjä	Alexander Craig Aitken	Wooldridge (textbook treatment); classical least squares
Tyyppi	Linear estimator	Linear regression
Alkuperäislähde	Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48.	Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
Rinnakkaisnimet	GLS, Aitken estimator, EGLS, feasible GLS	ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Liittyvät	3	5
Tiivistelmä	Generalized Least Squares (GLS) is a linear regression estimator that extends ordinary least squares to handle situations where the error terms are correlated or have non-constant variance (heteroscedasticity). Introduced by Alexander Craig Aitken in 1935, GLS achieves the Best Linear Unbiased Estimator (BLUE) under a general error covariance structure by weighting observations according to their precision, providing a theoretical bridge between OLS and modern linear mixed models.	Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).