Addendum No. 1: Elementary Exposition of Gauss' Final Justification of Least Squares

• Autorzy: Oscar Sheynin

Warianty tytułu

Addendum 1. Elementarne przedstawienie ostatecznego Gaussowskiego uzasadnienia najmniejszych kwadratów

• Języki publikacji: EN

Abstrakty

EN

Legendre was the first to publish the principle of least squares in 1805, this principle was known to Gauss since 1795. But it was Gauss who introduced the method of least squares. He offered its final justification based on the principle of maximum weight (minimal variance) in 1823 and 1828. I begin with a few words about Legendre and Laplace and continue with describing Gauss' final justification of least squares. It is extremely complicated, but modern authors removed this difficulty. My own exposition (§ 3) is quite elementary and, I think, methodically necessary.(original abstract)

Legendre był pierwszym, który opublikował w 1805 r. zasadę najmniejszych kwadratów, znaną Gaussowi od 1795 r. Ale to Gauss wprowadził metodę najmniejszych kwadratów. Pełne jej uzasadnienie, oparte na zasadzie maksymalnych wag (minimalna wariancja) Gauss podał w pracach opublikowanych w latach 1823 i 1828. W niniejszej pracy, po prezentacji prac Legendre'a i Laplace'a, podaję elementarne wyjaśnienie tej metody.(abstrakt oryginalny)

Słowa kluczowe

EN

Statistics

PL

Statystyka

• Czasopismo: Śląski Przegląd Statystyczny
• Rocznik: 2014
• Numer: nr 12 (18)
• Strony: 39--47

Twórcy

autor

Oscar Sheynin

Bibliografia

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Identyfikatory

DOI

10.15611/sps.2014.12.02