Parameters' variances of a least-squares determined straight line with errors in both coordinates

A paper dealing with parameters' errors of a least-squares determined curve was published by G.C. Cecchi (1991). A.H. Kalantar (1992) correctly pointed out that the results quoted by Cecchi for the variance estimates of a straight-line fit do not agree with those previously reported by other au...

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Autores principales: Moreno, Cesar Hugo, Bruzzone, Horacio
Publicado: 1993
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09570233_v4_n5_p635_Moreno
http://hdl.handle.net/20.500.12110/paper_09570233_v4_n5_p635_Moreno
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spelling paper:paper_09570233_v4_n5_p635_Moreno2023-06-08T15:56:24Z Parameters' variances of a least-squares determined straight line with errors in both coordinates Moreno, Cesar Hugo Bruzzone, Horacio Least squares determined curve Parameters' errors Standard error propagation law Variance Curve fitting Differential equations Error analysis Least squares approximations A paper dealing with parameters' errors of a least-squares determined curve was published by G.C. Cecchi (1991). A.H. Kalantar (1992) correctly pointed out that the results quoted by Cecchi for the variance estimates of a straight-line fit do not agree with those previously reported by other authors. Nevertheless, for straight-line fits the formalism discussed by Cecchi is essentially correct. In the present communication, complete agreement between results is achieved after some detailed calculations. Fil:Moreno, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Bruzzone, H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1993 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09570233_v4_n5_p635_Moreno http://hdl.handle.net/20.500.12110/paper_09570233_v4_n5_p635_Moreno
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Least squares determined curve
Parameters' errors
Standard error propagation law
Variance
Curve fitting
Differential equations
Error analysis
Least squares approximations
spellingShingle Least squares determined curve
Parameters' errors
Standard error propagation law
Variance
Curve fitting
Differential equations
Error analysis
Least squares approximations
Moreno, Cesar Hugo
Bruzzone, Horacio
Parameters' variances of a least-squares determined straight line with errors in both coordinates
topic_facet Least squares determined curve
Parameters' errors
Standard error propagation law
Variance
Curve fitting
Differential equations
Error analysis
Least squares approximations
description A paper dealing with parameters' errors of a least-squares determined curve was published by G.C. Cecchi (1991). A.H. Kalantar (1992) correctly pointed out that the results quoted by Cecchi for the variance estimates of a straight-line fit do not agree with those previously reported by other authors. Nevertheless, for straight-line fits the formalism discussed by Cecchi is essentially correct. In the present communication, complete agreement between results is achieved after some detailed calculations.
author Moreno, Cesar Hugo
Bruzzone, Horacio
author_facet Moreno, Cesar Hugo
Bruzzone, Horacio
author_sort Moreno, Cesar Hugo
title Parameters' variances of a least-squares determined straight line with errors in both coordinates
title_short Parameters' variances of a least-squares determined straight line with errors in both coordinates
title_full Parameters' variances of a least-squares determined straight line with errors in both coordinates
title_fullStr Parameters' variances of a least-squares determined straight line with errors in both coordinates
title_full_unstemmed Parameters' variances of a least-squares determined straight line with errors in both coordinates
title_sort parameters' variances of a least-squares determined straight line with errors in both coordinates
publishDate 1993
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09570233_v4_n5_p635_Moreno
http://hdl.handle.net/20.500.12110/paper_09570233_v4_n5_p635_Moreno
work_keys_str_mv AT morenocesarhugo parametersvariancesofaleastsquaresdeterminedstraightlinewitherrorsinbothcoordinates
AT bruzzonehoracio parametersvariancesofaleastsquaresdeterminedstraightlinewitherrorsinbothcoordinates
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