Helmert's work in the theory of errors

@article{Sheynin1995HelmertsWI,
  title={Helmert's work in the theory of errors},
  author={Oscar Sheynin},
  journal={Archive for History of Exact Sciences},
  year={1995},
  volume={49},
  pages={73-104}
}
  • O. Sheynin
  • Published 1 March 1995
  • Mathematics
  • Archive for History of Exact Sciences
Les travaux de Helmert (F.R.) sont decrits afin de comprendre la theorie des erreurs en statistiques 
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References

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Origin of the Theory of Errors
J. H. LAMBERT should be given precedence over Gauss as the originator of the theory of errors. Galle1 stated that Gauss arrived at the idea of the principle of least squares while reading Lambert,
C. F. Gauss and geodetic observations
Ayant etudie les travaux de Gauss sur la theorie de l'erreur, l'A. etudie une methode d'estimation de l'erreur basee sur l'etude des statistiques mathematiques
Gauss's first argument for least squares
Gauss first published an argument for the law of least squares in the Theoria Motus of 1809, though he had been using the law for some time.1 His argument there was influential throughout the
Laplace's theory of errors
The genesis and development of the theory of errors before Laplace have been considered in a series of my articles [69] -[74]. My present aim is to elucidate the relevant work of Laplace himself,
Notes on the method of least squares
In inferring the value of a physical quantity x from observations some risk must be accepted. It is therefore presumed that the investigator has made up his mind how much risk he will take, and
Two Theories of Experimental Error
  • A. Colclough
  • Philosophy
    Journal of Research of the National Bureau of Standards
  • 1987
The reader … will have seized my meaning if he perceives that the different situations in which uncertain inferences may be attempted admit of logical distinctions which should guide our
Early history of the theory of probability
  • O. Sheynin
  • Economics
    Archive for history of exact sciences
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