ordinary least squares estimator

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:statistician
gptkbp:appliesTo linear models
gptkbp:assumes errors are uncorrelated
errors have zero mean
errors are homoscedastic
predictors are non-collinear
gptkbp:category gptkb:estimation_theory
statistics
gptkbp:form (X'X)^{-1}X'y
https://www.w3.org/2000/01/rdf-schema#label ordinary least squares estimator
gptkbp:introduced gptkb:Carl_Friedrich_Gauss
gptkb:Adrien-Marie_Legendre
gptkbp:output regression coefficients
gptkbp:reduces sum of squared residuals
gptkbp:relatedTo gptkb:generalized_least_squares
ridge regression
maximum likelihood estimator
ordinary least squares method
gptkbp:usedFor parameter estimation
gptkbp:usedIn linear regression
gptkbp:yield BLUE under Gauss-Markov theorem
gptkbp:bfsParent gptkb:BLUE_estimator
gptkbp:bfsLayer 8