Zugriffsnummer 24935
Dokumenttyp Zeitschriftenartikel
Sprache Englisch
Titel A two-stage procedure for determining the number of trials in the application of a Monte Carlo method for uncertainty evaluation
Autor(in); Institution
Wübbeler, Gerd; 8.4, Mathematische Modellierung und Datenanalyse, PTB-Berlin
Harris, Peter M.; National Physical Laboratory, Teddington, UK
Cox, Maurice G.; National Physical Laboratory, Teddington, UK
Elster, Clemens; 8.4, Mathematische Modellierung und Datenanalyse, PTB-Berlin
Quelle/Jahr Metrologia: 47 (2010), 3, 317 - 324
ISSN 0026-1394 (PRINT) ; 1681-7575 (ONLINE)
DOI
URL
Verlag Bristol [u.a.]: IOP Publishing
Freie Schlagworte measurement uncertainty ; Monte Carlo method ; GUM Supplement 1
Zusammenfassung Adaptive Monte Carlo schemes can be used to determine the number of Monte Carlo trials (the number of evaluations of the measurement model) necessary for the evaluation of uncertainty according to Supplement 1 to the GUM (GUM S1). The goal is to reach a prescribed numerical accuracy of the Monte Carlo results (the estimate, associated standard uncertainty and coverage interval endpoints) for a chosen confidence level. It is shown that simple sequential adaptive Monte Carlo schemes may not perform well in this regard and an alternative method based on a two-stage procedure due to Stein is proposed. The implementation of this two-stage scheme for GUM S1 is described, and its performance and robustness are demonstrated in terms of simulation results.

Zitierung

Wübbeler, G., Harris, P. M., Cox, M. G., & Elster, C. (2010). A two-stage procedure for determining the number of trials in the application of a Monte Carlo method for uncertainty evaluation. Metrologia, 47(3), 317–324. https://doi.org/10.1088/0026-1394/47/3/023

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