Article ID: CBB054933541

Gauss on least-squares and maximum-likelihood estimation (2022)

unapi

Gauss’ 1809 discussion of least squares, which can be viewed as the beginning of mathematical statistics, is reviewed. The general consensus seems to be that Gauss’ arguments are at fault, but we show that his reasoning is in fact correct, given his self-imposed restrictions, and persuasive without these restrictions.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB054933541/

Similar Citations

Article Yap, Audrey; (2011)
Gauss' Quadratic Reciprocity Theorem and Mathematical Fruitfulness (/isis/citation/CBB001024184/)

Book Alberto Cogliati; (2024)
La geometria non euclidea. Una breve storia dall’antichità a Poincaré (/isis/citation/CBB276091257/)

Article Ferraro, Giovanni; (2007)
Convergence and Formal Manipulation in the Theory of Series from 1730 to 1815 (/isis/citation/CBB000771368/)

Chapter Pieper, Herbert; (2003)
Alexander von Humboldts Anteil an der Herausbildung eines mathematischen Zentrums in Berlin (/isis/citation/CBB000800269/)

Book Mittler, Elmar; Glitsch, Silke; (2005)
“Wie der Blitz einschlägt, hat sich das Räthsel gelöst”: Carl Friedrich Gauß in Göttingen (/isis/citation/CBB001232255/)

Book Bussotti, Paolo; (2006)
From Fermat to Gauss: Indefinite Descent and Methods of Reduction in Number Theory (/isis/citation/CBB000772063/)

Article José Ferreirós; (2020)
Gauss and the Mathematical Background to Standardisation (/isis/citation/CBB127439302/)

Book Dunnington, G. Waldo; Gray, Jeremy; Dohse, Fritz-Egbert; (2004)
Gauss: Titan of Science (/isis/citation/CBB000471233/)

Article Alberto Cogliati; (2018)
Sulla ricezione del "Theorema Egregium," 1828-1868 (/isis/citation/CBB513903674/)

Article Abardia, Judit; Reventós, Agustí; Rodríguez, Carlos J.; (2012)
What Did Gauss Read in the Appendix? (/isis/citation/CBB001251202/)

Article Reich, Karin; (2003)
Cauchy und Gauß. Cauchy's Rezeption im Umfeld von Gauß (/isis/citation/CBB000340519/)

Article Enebakk, Vidar; (2014)
Hansteen's Magnetometer and the Origin of the Magnetic Crusade (/isis/citation/CBB001202237/)

Article Bullynck, Maarten; (2010)
Factor Tables 1657--1817, with Notes on the Birth of Number Theory (/isis/citation/CBB001033636/)

Chapter Kaplan, Pierre; (2004)
L'équation de Pell-Fermat, de Fermat à nos jours et un problème de Gauss (/isis/citation/CBB000650848/)

Article Ferraro, Giovanni; (2007)
The Foundational Aspects of Gauss's Work on the Hypergeometric, Factorial and Digamma Functions (/isis/citation/CBB000720349/)

Book Goldstein, Catherine; Schappacher, Norbert; Schwermer, Joachim; (2007)
The Shaping of Arithmetic after C. F. Gauss's Disquisitiones Arithmeticae (/isis/citation/CBB001035076/)

Authors & Contributors
Reich, Karin
Cogliati, Alberto
Ferraro, Giovanni
Goldstein, Catherine
Abardia, Judit
Bullynck, Maarten
Journals
Archive for History of Exact Sciences
Historia Mathematica
Bollettino di Storia delle Scienze Matematiche
British Journal for the History of Science
HOST: Journal of History of Science and Technology
Revue d'Histoire des Mathématiques
Publishers
Mathematical Association of America
Carocci Editore
E. Rauner Verlag
Edition am Gutenbergplatz Leipzig
Niedersächsische Staats- und Univ.-Bibl.
Springer
Concepts
Mathematics
Number theory; number concept
Biographies
Astronomy
Philosophy of mathematics
Algebra
People
Gauss, Carl Friedrich
Euler, Leonhard
Lambert, Johann Heinrich
Pell, John
Fermat, Pierre de
Bolyai, Farkas (Wolfgang) von
Time Periods
19th century
18th century
17th century
20th century
Places
Germany
Berlin (Germany)
Europe
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment