Least squares for practitioners
type: Item
instance of: scholarly article
title: Least squares for practitioners
zbMATH Open document ID: 1195.62015
DOI: 10.1155/2010/508092
published in: Mathematical Problems in Engineering
publication date: 2010-09-30T00:00:00Z
full work available at URL: https://eudml.org/doc/230760
review text: Summary: In experimental sciences and engineering, least squares are ubiquitous in analysis and digital data processing applications. Minimizing sums of squares of some quantities can be interpreted in very different ways and confusion can arise in practice, especially concerning the optimality and reliability of the results. Interpretations of least squares in terms of norms and likelihoods need to be considered to provide guidelines for general users. Assuming minimal prerequisites, the following expository discussion is intended to elaborate on some of the mathematical characteristics of the least-squares methodology and some closely related questions in the analysis of the results, model identification, and reliability for practical applications. Examples of simple applications are included to illustrate some of the advantages, disadvantages, and limitations of least squares in practice. Concluding remarks summarize the situation and provide some indications of practical areas of current research and development.
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 62P30
Mathematics Subject Classification ID: 62P99
zbMATH DE Number: 5793755
author: J. A. Rod Blais
describes a project that uses: Mathematica
Wikidata QID: Q58653130
MaRDI profile type: Publication
OpenAlex ID: W2153367960
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description: scientific article; zbMATH DE number 5793755