ScholarGate
Pembantu

Bandingkan kaedah

Semak kaedah pilihan anda secara bersebelahan; baris yang berbeza akan diserlahkan.

Generalized Least Squares (GLS)×Kuasa Dua Terkecil Biasa (OLS)×
BidangStatistikStatistik
KeluargaRegression modelRegression model
Tahun asal19351805
PengasasAlexander Craig AitkenAdrien-Marie Legendre (1805); Carl Friedrich Gauss (1809)
JenisLinear estimatorLinear parameter estimation
Sumber perintisAitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗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 ↗
AliasGLS, Aitken estimator, EGLS, feasible GLSOLS, OLS regression, linear least squares, classical linear regression
Berkaitan38
RingkasanGeneralized 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 (OLS) is the canonical method for estimating the parameters of a linear regression model by minimizing the sum of squared differences between observed and predicted values. First published by Adrien-Marie Legendre in 1805 and independently developed by Carl Friedrich Gauss (who claimed priority from 1795), OLS is provably optimal under the Gauss-Markov theorem: given its assumptions, it yields the Best Linear Unbiased Estimator (BLUE) of the regression coefficients.
ScholarGateSet data
  1. v1
  2. 3 Sumber
  3. PUBLISHED
  1. v1
  2. 4 Sumber
  3. PUBLISHED

Pergi ke carian Muat turun slaid

ScholarGateBandingkan kaedah: Generalized Least Squares · Ordinary Least Squares. Dicapai 2026-06-19 daripada https://scholargate.app/ms/compare