Linearization region in the straight-line calibration
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73634029" target="_blank" >RIV/61989592:15310/25:73634029 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/9789819800674_0030" target="_blank" >http://dx.doi.org/10.1142/9789819800674_0030</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/9789819800674_0030" target="_blank" >10.1142/9789819800674_0030</a>
Alternative languages
Result language
angličtina
Original language name
Linearization region in the straight-line calibration
Original language description
We consider the statistical straight-line calibration model, which, as it turns out, is a nonlinear regression errors-in-variables model. Since the related measurement model to determine the straight-line parameters is generally nonlinear, the derived covariance matrix of the parameter estimators only provides approximations of the uncertainties. To address this, we introduce a statistical test that helps us determine whether the linearized statistical straight-line calibration model is suitable for the measured data. If the model demonstrates linearity, we can utilize the optimal estimators, the best linear unbiased estimators for the model parameters, along with their covariance matrix. Moreover, by including additional normality assumptions, we can calculate confidence intervals for any feasible linear combination of parameters. In particular, here we identify the linearization region of the straight-line calibration model and provide a simple sufficient condition for the model to be considered linearizable.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Advanced Mathematical and Computational Tools in Metrology and Testing XIII
ISBN
978-981-9800-67-4
Number of pages of the result
8
Pages from-to
330-337
Number of pages of the book
368
Publisher name
World Scientific Publishing Company
Place of publication
Singapore
UT code for WoS chapter
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