Zugriffsnummer 53640
Dokumenttyp Zeitschriftenartikel Open Access Hybrid
Peer Review mit Peer Review
Sprache Englisch
Titel A practically oriented, efficient alternative to the Monte Carlo method for measurement uncertainty estimation
Autor(in); Institution
Degenhardt, Johannes; 5.2, Dimensionelle Nanometrologie, PTB-Braunschweig
Tutsch, Rainer; Institute of Production Metrology, TU Braunschweig, Braunschweig, GERMANY
Hu, Xiukun; College of Materials and Chemistry, China Jiliang University, Hangzhou, CHINA
Dai, Gaoliang; 5.2, Dimensionelle Nanometrologie, PTB-Braunschweig
Quelle/Jahr Metrologia: 62 (2025), 2, 1 - 12
Artikelnummer 025004
ISSN 0026-1394 (print) ; 1681-7575 (online)
DOI
Verlag Bristol: IOP Publishing
Freie Schlagworte measurement uncertainty ; Monte Carlo method ; GUM
Zusammenfassung This paper addresses the problem of uncertainty estimation for measurements made with computationally expensive numerical models, which are increasingly applied today. Typically the Monte Carlo method (MCM) is used for uncertainty propagation in these cases. However, due to its stochastic nature, the MCM is inefficient, requiring a large number of model evaluations and thus resulting in long computation times. In this paper, an efficient alternative to the MCM is introduced. By using systematic samples of the influence quantities which are individually propagated through the measurement model, the overall number of required model evaluations can by drastically reduced. Additionally, the new method offers the possibility to simplify the measurement model for further reduced computational effort. The distributions of the propagated samples are reconstructed using a method specifically designed for systematic samples and combined to the uncertainty distribution of the measurand using convolution. The new method does not only offer increased computational efficiency but also a high information yield, as it estimates the uncertainty distribution of the measurand and the uncertainty contribution of individual influence quantities.
Kostenfreier Zugang Open Access Hybrid
Rechteinformation CC BY 4.0 ; Creative Commons Attribution 4.0 License
Forschungsprojekt 20IND08: MetExSPM: Traceability of localised functional properties of nanostructures with high speed scanning probe microscopy
Förderinformationen (1) Förderername: European Commission (EC)
Förderer ID: 0000 0001 2242 8989
Förderer ID Typ: ISNI
Förderprogramm: EMPIR 2020 Industry
Titel der Förderung: 20IND08: MetExSPM: Traceability of localised functional properties of nanostructures with high speed scanning probe microscopy
Förderungsnummer: 20IND08

Zitierung

Degenhardt, J., Tutsch, R., Hu, X., & Dai, G. (2025). A practically oriented, efficient alternative to the Monte Carlo method for measurement uncertainty estimation. Metrologia, 62(2), 1–12. https://doi.org/10.1088/1681-7575/adb3ab

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