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On equality of ordinary least squares estimator, best linear unbiased estimator and best linear unbiased predictor in the general linear model

Journal of Statistical Planning and Inference, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yonghui Liu
exaly   +3 more sources

The Equality of the Ordinary Least Squares Estimator and the Best Linear Unbiased Estimator

American Statistician, 1989
Abstract It is well known that the ordinary least squares estimator of Xβ in the general linear model E y = Xβ, cov y = σ2 V, can be the best linear unbiased estimator even if V is not a multiple of the identity matrix. This article presents, in a historical perspective, the development of the several conditions for the ordinary least squares estimator
Simo Puntanen, George P H Styan
exaly   +3 more sources

best linear unbiased estimator (BLUE)

, 2012
R. Grafton   +3 more
semanticscholar   +2 more sources

On Multilevel Best Linear Unbiased Estimators

SIAM/ASA Journal on Uncertainty Quantification, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Schaden, Elisabeth Ullmann
openaire   +1 more source

Two matrix-based proofs that the linear estimator Gy is the best linear unbiased estimator

Journal of Statistical Planning and Inference, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Puntanen, G. Styan, H. Werner
semanticscholar   +2 more sources

Best Linear Unbiased Estimation by Recursive Methods

SIAM Journal on Applied Mathematics, 1966
Introduction. The classical linear estimation problem for a finite number of parameters using least squares dates back to Gauss [1]. In a paper by Aitken [2], the method of parameter estimation was generalized. Instead of obtaining the set of parameters which minimize the sum of squares of the residuals (difference between the observed and expected ...
M. Blum
semanticscholar   +2 more sources

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