C.F. Gauss and the method of least squares

Oscar Sheynin
2014 Śląski Przegląd Statystyczny  
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. Nr 12 (18) C.F. Gauss and the method of least squares 11
more » ... f least squares 11 ŚLĄSKI PRZEGLĄD STATYSTYCZNY Nr 12 (18) Oscar Sheynin ŚLĄSKI PRZEGLĄD STATYSTYCZNY Nr 12 (18) C.F. Gauss and the method of least squares 13 ŚLĄSKI PRZEGLĄD STATYSTYCZNY Nr 12 (18) Nr 12 (18) abovementioned condition (and had to adjust all the observations at once). There are indications that the actual rejection of his method annoyed him 8 .
doi:10.15611/sps.2014.12.01 fatcat:23prt7tejzcexmua7juvv4bcwa