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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

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

DOI: 10.1007/s00407-022-00291-w

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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.

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