Least Squares for Practitioners
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-23
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
In experimental science 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.
American Psychological Association (APA)
Blais, J. A. Rod. 2010. Least Squares for Practitioners. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-477199
Modern Language Association (MLA)
Blais, J. A. Rod. Least Squares for Practitioners. Mathematical Problems in Engineering No. 2010 (2010), pp.1-19.
https://search.emarefa.net/detail/BIM-477199
American Medical Association (AMA)
Blais, J. A. Rod. Least Squares for Practitioners. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-477199
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477199