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
Reich, Karin
Goldstein, Catherine
Cogliati, Alberto
Krzanowski, W. J.
Bingham, N. H.
Gauss, Carl Friedrich
Concepts
Mathematics
Number theory; number concept
Statistics
Philosophy of mathematics
Astronomy
Geomagnetism
Time Periods
19th century
18th century
20th century
17th century
Places
Germany
Saxony
Florence (Italy)
Europe
Berlin (Germany)
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