C.F. Gauss and the Method of Least Squares

• Autorzy: Oscar Sheynin

Warianty tytułu

Gauss i metoda najmniejszych kwadratów

• Języki publikacji: EN

Abstrakty

EN

Gauss introduced the MLSq and Helmert completed its development whereas Bessel made important discoveries in astronomy and geodesy but was often extremely inattentive. Gauss' final condition of least variance led to effective estimators of the unknowns sought, jointly effective in case of the normal distribution of the observational errors. Gauss' memoire of 1823 leads to the principle of least squares much easier than generally thought.(original abstract)

Metodę najmniejszych kwadratów wprowadził Gauss, Helmert w pełni zakończył jej rozwój, Bessel zaś dokonał ważnych odkryć w astronomii i geodezji, był w tym jednak wyjątkowo niedbały. Gaussowski warunek o najmniejszej wariancji doprowadził do efektywnych estymatorów poszukiwanych nieznanych wielkości. W przypadku gdy błędy obserwacji mają rozkład normalny, estymatory są łącznie efektywne. Pamiętniki Gaussa z 1823 r. prościej prowadzą do zasady najmniejszych kwadratów, niż się powszechnie sądziło.(abstrakt oryginalny)

Słowa kluczowe

EN

Statistics

PL

Statystyka

• Czasopismo: Śląski Przegląd Statystyczny
• Rocznik: 2014
• Numer: nr 12 (18)
• Strony: 9--37

Twórcy

autor

Oscar Sheynin

Bibliografia

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Identyfikatory

DOI

10.15611/sps.2014.12.01