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.

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Authors & Contributors
Armatte, Michel
Charles Kostelnick
Krzanowski, W. J.
Emmanuel-Etienne Duvillard
Luca Dell'Agio
Bingham, N. H.
Concepts
Mathematics
Statistics
Philosophy of mathematics
Number theory; number concept
Biographies
Non-euclidean geometry
Time Periods
19th century
20th century
18th century
21st century
20th century, early
17th century
Places
Germany
Florence (Italy)
France
Brazil
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