IsisCB Explore

Article ID: CBB054933541

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

Jan Magnus Romgard (Author)

Archive for History of Exact Sciences
Volume: 76
Issue: 4
Pages: 425-430
Publication date: 2022
Language: English

URI: https://doi.org/10.1007/s00407-022-00291-w

DOI: 10.1007/s00407-022-00291-w

Outside Links

WorldCat

Google Scholar

JSTOR

Philosophy of mathematics Statistics Mathematics 19th century Gauss, Carl Friedrich

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

data.isiscb.org/p/isis/citation/CBB054933541

This citation is part of the Isis database.

Citations Indexes

Similar Citations

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

Article Catherine Goldstein; (2016)
«Découvrir des principes en classant» : la classification des formes quadratiques selon Charles Hermite (/p/isis/citation/CBB947622345/)

Article N H Bingham; W J Krzanowski; (2022)
Linear algebra and multivariate analysis in statistics: development and interconnections in the twentieth century (/p/isis/citation/CBB456363893/)

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

Book Gauß, Carl Friedrich; Reich, Karin; (2012)
Wolfgang Sartorius von Waltershausen, Gauß zum Gedächtniss: Biographie Carl Friedrich Gauß, Leipzig 1856. Mit dem von Karin Reich verfassten Essay “Wolfgang Sartorius von Waltershausen (1809--1876)” (/p/isis/citation/CBB001213653/)

Book Reich, Karin; (2001)
Im Umfeld der “Theoria motus”: Gauss' Briefwechsel mit Perthes, Laplace, Delambre und Legendre (/p/isis/citation/CBB000330688/)

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

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

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

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

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

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

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

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

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

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

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

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

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

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