A least-squares-based method for determining the ratio between two measured quantities
A numerical procedure to find the ratio between two measured quantities is discussed in the framework of the least-squares method with errors in both coordinates. Constant, as well as variable, amounts of statistical uncertainties are considered for each variable along their measured range. Analytic...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_09570233_v7_n2_p137_Moreno |
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todo:paper_09570233_v7_n2_p137_Moreno2023-10-03T15:52:20Z A least-squares-based method for determining the ratio between two measured quantities Moreno, C. A numerical procedure to find the ratio between two measured quantities is discussed in the framework of the least-squares method with errors in both coordinates. Constant, as well as variable, amounts of statistical uncertainties are considered for each variable along their measured range. Analytical solutions for particular cases are given. The variance of the ratio is given as a closed analytical expression valid for the general case. Limiting cases of the presented results are compared with those obtained using classical least-squares expressions. A comparison with the weighted average method is also discussed. Fil:Moreno, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09570233_v7_n2_p137_Moreno |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
A numerical procedure to find the ratio between two measured quantities is discussed in the framework of the least-squares method with errors in both coordinates. Constant, as well as variable, amounts of statistical uncertainties are considered for each variable along their measured range. Analytical solutions for particular cases are given. The variance of the ratio is given as a closed analytical expression valid for the general case. Limiting cases of the presented results are compared with those obtained using classical least-squares expressions. A comparison with the weighted average method is also discussed. |
| format |
JOUR |
| author |
Moreno, C. |
| spellingShingle |
Moreno, C. A least-squares-based method for determining the ratio between two measured quantities |
| author_facet |
Moreno, C. |
| author_sort |
Moreno, C. |
| title |
A least-squares-based method for determining the ratio between two measured quantities |
| title_short |
A least-squares-based method for determining the ratio between two measured quantities |
| title_full |
A least-squares-based method for determining the ratio between two measured quantities |
| title_fullStr |
A least-squares-based method for determining the ratio between two measured quantities |
| title_full_unstemmed |
A least-squares-based method for determining the ratio between two measured quantities |
| title_sort |
least-squares-based method for determining the ratio between two measured quantities |
| url |
http://hdl.handle.net/20.500.12110/paper_09570233_v7_n2_p137_Moreno |
| work_keys_str_mv |
AT morenoc aleastsquaresbasedmethodfordeterminingtheratiobetweentwomeasuredquantities AT morenoc leastsquaresbasedmethodfordeterminingtheratiobetweentwomeasuredquantities |
| _version_ |
1807317989133910016 |