Applications of Iterated Linearization for non-linear errors-in-variable regression to metrological data

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00177016%3A_____%2F25%3AN0000116" target="_blank" >RIV/00177016:_____/25:N0000116 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/25:00144262
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2665917424007050" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2665917424007050</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.measen.2024.101729" target="_blank" >10.1016/j.measen.2024.101729</a>

Result language
angličtina
Original language name
Applications of Iterated Linearization for non-linear errors-in-variable regression to metrological data
Original language description
Correct data processing and uncertainty assessment is crucial for metrology. One of the most common methods used is function fitting using non-linear least squares. This numerical method has been implemented in probably all data processing software and is quick and easy to use. Unfortunately, it has its limitations – notably it works only for very simple models of the uncertainties present in the system. Uncertainties in the dependent variable cannot be taken into account, and neither do correlations. Errors-in-variables models minimize a generalized distance of the points from the fitted function. The metric used to compute the distance is given by the inverse of the covariance matrix. Thus, the estimates of the uncertainties entering the computation may affect the resulting estimates of the fitted parameters. In this contribution we illustrate the use of an iterative EIV algorithm on an example from nanoindentation, especially the sensitivity of the results to input data including uncertainties.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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