Version 1
: Received: 30 April 2022 / Approved: 5 May 2022 / Online: 5 May 2022 (16:05:37 CEST)
How to cite:
Tian, Y. Algebraic Treatments of a General Linear Model With Adding-up Restrictions. Preprints2022, 2022050049. https://doi.org/10.20944/preprints202205.0049.v1
Tian, Y. Algebraic Treatments of a General Linear Model With Adding-up Restrictions. Preprints 2022, 2022050049. https://doi.org/10.20944/preprints202205.0049.v1
Tian, Y. Algebraic Treatments of a General Linear Model With Adding-up Restrictions. Preprints2022, 2022050049. https://doi.org/10.20944/preprints202205.0049.v1
APA Style
Tian, Y. (2022). Algebraic Treatments of a General Linear Model With Adding-up Restrictions. Preprints. https://doi.org/10.20944/preprints202205.0049.v1
Chicago/Turabian Style
Tian, Y. 2022 "Algebraic Treatments of a General Linear Model With Adding-up Restrictions" Preprints. https://doi.org/10.20944/preprints202205.0049.v1
Abstract
In this note, we provide some effective treatments of a general linear model with adding-up restrictions via algebraic operations of given vectors and matrices in the model, including analytic expressions of the well-known ordinary least-squares estimator (OLSE) and the best linear unbiased estimator (BLUE) of the unknown parameters in the model.
Keywords
General linear model; adding-up restrictions; estimability; OLSE; BLUE
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
