Article ID: CBB054933541

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

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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.

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https://data.isiscb.org/isis/citation/CBB054933541/

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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
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