Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Algebraic Treatments of a General Linear Model With Adding-up Restrictions

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. Preprints 2022, 2022050049 (doi: 10.20944/preprints202205.0049.v1). Tian, Y. Algebraic Treatments of a General Linear Model With Adding-up Restrictions. Preprints 2022, 2022050049 (doi: 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

MATHEMATICS & COMPUTER SCIENCE, Probability and Statistics

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